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Tutors Answer Your Questions about Distributive-associative-commutative-properties (FREE)
Question 235966: what is the product to this question: (5y-2)(3y+4)
Answer by rfer(2588)   (Show Source):
Question 235860: How do i use distributive property to write expression without parentheses and then simplify? on these two problems
-( k -3 + 3m) + 3
and
-.6(3p +1)-.6
Answer by nyc_function(155)  (Show Source):
Question 235599: what is -2[a+3]=36
Answer by rfer(2588) (Show Source):
Question 235419: Write each expression as an equivalent algebraic expression
7(y+11)
Answer by tjbarr(2) (Show Source):
Question 234892: not quite sure how to foil this one in reverse since it has nothing in common.
5a^2+6a+1
Answer by solver91311(4818)  (Show Source):
Question 234340: can you help me use the rule of exponents to simplify the expression, write answer without negative exponents
(-3s^-3t^2)^-2
Answer by ankor@dixie-net.com(6567)  (Show Source):
Question 234594: How do I factor -70a^4 + 68a^3 - 16a^2
Answer by Earlsdon(4871) (Show Source):
Question 234597: How do i factor completely y^2-11y+10
The answer i came up with was (y-10)(y-1) these are the only two number thats product is 10 and sum is 11.
Answer by solver91311(4818) (Show Source):
Question 234323: Can you help me simplify, no denominator is zero and 0^0 is not considered
(pq^3) (pq)^5
Answer by dawny74(8) (Show Source):
You can put this solution on YOUR website!(pq^3) (pq)^5
(p^1q^3) (p^5q^5)Each variable has an exponent
(p^1 + 5) (q^3+5) Now combine like terms, adding exponents
=p^6 q^8
Question 234328: Can you help me mulitply
-6x^7 (-11x^6+3x^3)
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!Note:
Distributive Law is a(b+c) = a*b + a*c
------------------
Your Problem
mulitply
-6x^7 (-11x^6+3x^3)
---
= (-6x^7)(-11x^6) + (-6x^7)(3x^3)
---
= 66x^13 - 18x^10
=========================
Cheers,
Stan H.
Question 234162: (4x+3y^2-2)(-3) using distributive properties. I got the answer as
(4x + 6y - -6)
Then I also have (5/6)(24x^2 - 18x + 12) also using distributive properties and the answer I got for that is (5/6)(558x + 12) I am wondering if that is right or if not, what steps to take to get it right.
Thank you,
Christine
Answer by Alan3354(5863)  (Show Source):
You can put this solution on YOUR website!(4x+3y^2-2)(-3)
= -12x - 9y^2 + 6
-----------------
using distributive properties. I got the answer as
(4x + 6y - -6) How did you get that?
==================================
Then I also have
(5/6)(24x^2 - 18x + 12)
= 5*(4x^2 - 3x + 2)
= 20x^2 - 15x + 10
email me with any questions at
gsihoutx@aol.com
Question 233508: Perform the indicated operations.
(4x-7y)(3x+2y)
Answer by rapaljer(3526) (Show Source):
You can put this solution on YOUR website!(4x-7y)(3x+2y)
This is a FOIL problem. Do you know what that means? If not, send me an Email and I'll send you a couple of links.
F= First*First = 4x*3x=12x^2
O= Outer*Outer = 4x*2y=8xy
I=Inner *Inner = -7y*3x=-21xy
L=Last*Last = -7y*2y =-14y^2
Add them up and combine like terms:
12x^2 +8xy-21xy -14y^2
12x^2 -13xy - 14y^2
Dr. Robert J. Rapalje, Retired
Question 233364: Can you help me simplify this expression without negative a exponent?
-6a^7b^6c^2/-2a^3b^8c^2
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!simplify this expression without negative a exponent?
-6a^7b^6c^2/-2a^3b^8c^2
---
(-6/-2)(a^7/a^3)(b^6/b^8)(c^2/c^2)
---
= 3*a^4*(1/b^2)(1)
---
= 3a^4/b^2
===============
Cheers,
Stan H.
Question 233359: Can someone help me?
Evaluate the polnomial for the given value of x. X=-3
2x^3+5x^2-x+40
Answer by Alan3354(5863) (Show Source):
You can put this solution on YOUR website!Evaluate the polnomial for the given value of x. X=-3
2x^3+5x^2-x+40
-----------------
Sub -3 for x
= 2*(-3)^3 + 5*(-3)^2 - (-3) + 40
= -54 + 45 + 3 + 40
= 34
Question 233354: Can you help me
Simplify Assume that no denominator is zero and that 0^0 in not considered
(4r^7)^4
Answer by unlockmath(60)  (Show Source):
You can put this solution on YOUR website!(4r^7)^4
Hello,
Let's expand this out and it'll make sense then.
We could write it as:
(4r^7)(4r^7)(4r^7)(4r^7) (Then let's multiply the 4's first which gives us 256. Now let's find how many r^7's there are. That total 28. So now we can write it as:
256r^28
A faster way is multiply 7 times 4 to give you the power and 4 mutiplied by itself 4 times. In other words (4)(4)(4)(4)= 256
RJ Toftness
www.math-unlock.com
Question 233151: can you help me
use the rules of exponents to simplify the expression, donot use negative exponents
6t^-7/ 2t^9
Answer by Alan3354(5863) (Show Source):
Question 233159: multiply
(3x-2) (x+7)
Answer by ly12603(33)  (Show Source):
You can put this solution on YOUR website!3x^2+19x-14 distibute the factors like so 3x(x) 3x(7) -2(x) -2(7) from there on multiply to get the answer 3x^2+21x-2x-14. From this poin all you have to do is combine like terms to recive the final answer
Question 233165: suppose that P(x)=x^2-5x+2.
Find P(0) and P(3)
Answer by Theo(547)  (Show Source):
You can put this solution on YOUR website! suppose that P(x)=x^2-5x+2.
Find P(0) and P(3)
to find p(0), replace x with 0 to get:
(0)^2 - 5*(0) + 2 = 0 + 0 + 2 = 2
to find p(3), replace x with 3 to get:
(3)^2 - 5*(3) + 2 = 9 - 15 + 2 = -4
Question 233163: can you help me find the product?
(x-2)(x+3)(x-4)
Answer by chibisan(120)  (Show Source):
Question 232043: whats the answer to 6(k+2)+2(2k-5)=22
Answer by checkley77(6671) (Show Source):
You can put this solution on YOUR website!6(k+2)+2(2k-5)=22
6k+12+4k-10=22
10k=22+10-12
10k=20
k=20/10
k=2 ans.
Proof:
6(2+2)+2(2*2-5)=22
6*4+2(4-5)=22
24+2*-1=22
24-2=22
22=22
Question 232092: Please Help me solve this equation:
Marcia
miknmar@mchsi.com
Answer by checkley77(6671) (Show Source):
You can put this solution on YOUR website!5(n-2)=-24
5n-10=-24 add 10 to both sides.
5n+10-10=-24+10
5n/5=-14 divide both sides by 5.
n=-14/5 ans.
Proof:
5(-14/5-2)=-24
5(-14-2*5)/5=-24
5(-14-10)/5=-24
5*-24/5=-24
-24=-24
Question 231434: Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring formula leads to the same answer. Thanks!
Answer by rapaljer(3526) (Show Source):
You can put this solution on YOUR website!(3x+2)(3x-2)
F=3x*3x=9x^2
0=3x*-2 =-6x
I=2*3x=6x
L=+2*-2=-4
F+O+I+L=9x^2 -6x+6x-4
F+O+I+L= 9x^2 -4
This actually ends up the DIFFERENCE of TWO SQUARES.
Dr. Robert J. Rapalje, Retired
Question 231279: 8+5x-6=37
Found 2 solutions by rfer, texttutoring:
Answer by rfer(2588) (Show Source):
Answer by texttutoring(33)  (Show Source):
Question 230936:
2(x+4)
Answer by rfer(2588) (Show Source):
Question 230787: what is the quotient in dividing -11x^3y^4 and 121x^4y^3?
Answer by checkley77(6671) (Show Source):
Question 228793: How do i do this problem step by step.
13[7+w+(-9)]
&&,
-29(p-21-5)
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!How do i do this problem step by step.
13[7+w+(-9)]
simplify the parentheses
= 13[w-2]
Use the distributive law to get:
= 13w - 26
======================
&&,
-29(p-21-5)
simplify the parentheses
= -29(p-26)
Use the distributive law to get:
=-29p + 754
=================
Cheers,
Stan H.
Question 230393: please solve this expression: 10x-3(7-2x)+18
Answer by rfer(2588) (Show Source):
Question 230077: simplify each expression
3(a+2)+a
Answer by rapaljer(3526) (Show Source):
You can put this solution on YOUR website!By distributive property,
3(a+2) +a means the same as
3a+6 + 1a
Now combine like terms and you have
4a+6
If you need help with this sort of problems, take a look at a page on my own website. To get to my website, do a "Bing" or "Google" search for my last name "Rapalje". Near the top of the search list, you will find "Rapalje Homepage." Then, near the top of my Homepage, you will find a link "Basic, Intermediate and College Algebra: One Step at a Time." Click on this link, and look for "Basic Algebra". Then choose "Chapter 1", and look for "Section 1.06 Variables and Distributive Property." The sections prior to this section may also be helpful to you. My own students used to tell me that my sections are a LOT easier to understand than the traditional books. Try it for yourself and see. It's all free.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
Question 229992: 4t-8+12=3-4t-11
Answer by rfer(2588) (Show Source):
Question 229936: How do you use distributive property to solve this equation?
X-32(45-n)=34
Answer by stanbon(25959) (Show Source):
Question 229818: factor completely:
12x^3y^4-32x^4y^3
Answer by checkley77(6671) (Show Source):
Question 229590: (-y-9)(-5)
Answer by rfer(2588) (Show Source):
Question 229488: My problem is 14(1002)
Answer by rfer(2588) (Show Source):
Question 229134: factor completely and the one thats prime write prime
a. 2x^2+x+10
b. 10x^2-25x-30
c. 4x^3+2x^2-30x
Answer by Alan3354(5863) (Show Source):
You can put this solution on YOUR website!factor completely and the one thats prime write prime
a. 2x^2+x+10
Prime (in terms of integers)
b. 10x^2-25x-30
= 5(x^2 - 5x - 6)
= 5(x - 6)(x + 1)
------------------
c. 4x^3+2x^2-30x
= 2x(2x^2 + x - 15)
= 2x(2x - 5)(x + 3)
Question 228901: S=C+rC solve for C
Answer by rapaljer(3526) (Show Source):
You can put this solution on YOUR website!Factor the C to get it all in one place.
S=C+rC
S=C(1+r)
Now, "undo" the multiplication by (1+r) by dividing both sides by (1+r)
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
Question 228530: solve algebraically using only one variable: find three consecutive even integers such that the product of the first integer and the third integer is equal to four less than ten times the second integer.
Answer by mangeshpjoshi(15)  (Show Source):
You can put this solution on YOUR website!dear student,
let three consecutive even no are
x and x+2 and x+4 as difference between every 2 concutive no is 2
x *(x+4)=10(x+2)-4
as per given instruction
solving
x^2+4x=10x+20-4
x^2+4x-10x=16
x^2-6x-16=0
x(x-8)+2(x-8)=0
(x-8)(x+2)=0
x=8 or x=-2 impossible as even no
so x=8 is the correct answer
no are 8, 10, 12.....
thanks
faithfully
mangesh joshi
Question 228533: solve algebraically using only one variable: the length of a rectangle is two more than twice its width. if the area of the rectangle is 84, find the length and the width.
Answer by drj(1380)  (Show Source):
You can put this solution on YOUR website!Solve algebraically using only one variable: the length of a rectangle is two more than twice its width. If the area of the rectangle is 84, find the length and the width.
Step 1. Area A of a rectangle is A=width times the length
Step 2. Let w be the width.
Step 3. Let 2w+2 be the length since the length it's two more than twice its width.
Step 4. Then,  .
Step 5. Solving yields the following steps:
Subtract 84 from both sides of the equation
Step 6. To solve, use the quadratic equation given as
where a=2, b=2, and c=-84.
| Solved by pluggable solver: SOLVE quadratic equation with variable |
Quadratic equation  (in our case  ) has the following solutons:
For these solutions to exist, the discriminant  should not be a negative number.
First, we need to compute the discriminant :  .
Discriminant d=676 is greater than zero. That means that there are two solutions:  .
Quadratic expression  can be factored:
Again, the answer is: 6, -7.
Here's your graph:
 | |
Selecting the positive solution
 and  and the A=6*14=84 which is a true statement.
Step 6. ANSWER: The width is 6 and the length is 14.
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
Good luck in your studies!
Respectfully,
Dr J
Question 228522: solve for x using the factoring method: 18x^3=2x
Answer by drj(1380) (Show Source):
You can put this solution on YOUR website!Solve for x using the factoring method: 
Step 1. Subtract 2x from both sides of the equation
Step 2. Look at the numbers which has 2 as a common factor. Then,
Step 3. Look at the variable x which has x as a common factor. Then,
 .
Step 4. But  which is recognized as the difference of squares. As a result we have,
Step 5. This implies  ,  and  .
Add 1 to both sides of to get  .
Divide by 3 to both sides of the equation to get 
Subtract 1 to both sides of to get 
Divide by 3 to both sides of the equation to get 
Step 6. ANSWER: The solution is , and .
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
Good luck in your studies!
Respectfully,
Dr J
Question 228509: I'm having trouble solving this problem. please explain. -(-2-(-8))-6(2-(-6))
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!-(-2-(-8))-6(2-(-6))
---------------------------
Start your work inside each parentheses:
-----------------------------------
-(-2+8)-6(2+6)
------
-(6)-6(8)
---
-6-48
-54
===========
Cheers,
Stan H.
Question 227737: How do I simplify this problem?
4{3[5(y-3)+9]+2(y+8)}
Answer by jim_thompson5910(13679) (Show Source):
You can put this solution on YOUR website!4{3[5(y-3)+9]+2(y+8)} ... Start with the given expression.
4{3[5y-15+9]+2y+16} ... Distribute.
4{3[5y-6]+2y+16} ... Combine like terms.
4{15y-18+2y+16} ... Distribute again.
4{17y-2} ... Combine like terms.
68y-8 ... Distribute for the final time.
So 4{3[5(y-3)+9]+2(y+8)}=68y-8
Question 226886: Please help me solve this equation:3a+2+5a.
Answer by rfer(2588) (Show Source):
Question 226522: Please can someone help me with this? Any help will be greatly appreciated. I am having trouble and my professor is no help. My book for the course has yet to arrive and I don't know what to do.
1) (9x^8 - 8x^3 + 2x^2 + 4) + (3x^7 + 5x^3 - 9x)
2) Simplify the expression, and identify the constants, coefficients, and
variables in the simplified expression. 3/a * b/8
Answer by Alan3354(5863) (Show Source):
You can put this solution on YOUR website!1) (9x^8 - 8x^3 + 2x^2 + 4) + (3x^7 + 5x^3 - 9x)
Add like terms. "Like terms" have the same exponent.
= 9x^8 + 3x^7 - 3x^3 + 2x^2 - 9x + 4
It's a good idea to write it (or print it) and cross them off as you go, so as not to miss any.
That's all there is to it, tho. x^3 was the only term in both polynomials in this one.
------------------
2) Simplify the expression, and identify the constants, coefficients, and
variables in the simplified expression. 3/a * b/8
= 3b/8a
a and b are variables (I assume, it's not specified otherwise). 3 and 8 are coefficients.
-----------------------
You can find a lot of info on things like this on google.
Question 226509: I need help in figuring out the answer to these two problems. I am having a tough time trying to figure them out. Can someone please help me with this. Thank you in advance for your help.
1) Use the distributive law to multiply. 4(a+b)
a) 8ab
b) 4a+b
c) 4ab
d) 4a+4b
2) Use the distributive law to factor the given expression. 6a+3b
a) 6(a+b)
b) 2(3a+3b)
c) 3(2a+b)
d) 3(2a+3b)
Answer by user_dude2008(690) (Show Source):
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