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Tutors Answer Your Questions about Distributive-associative-commutative-properties (FREE)
Question 240890: Please solve these factoring problems:
x2+6x+5
x2-8x+7
x2-4x+4
x2+x-42
Answer by stanbon(26297)   (Show Source):
Question 240069: i don't understand how to distribute this problem (3x+5x+8)+(9x+2x-7) also the 3x is to the 2nd power and so is the 9x
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!distribute this problem (3x^2+5x+8)+(9x^2+2x-7)
-------------------------------
You don't distribute when you are adding.
You add "like" terms.
----------------------------
= 12x^2 + 7x + 1
=========================
Cheers,
Stan H.
Question 240013: 20=14+3(x=8)
Answer by checkley77(7072) (Show Source):
Question 240014: -25+4(2x+5)=-61
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!-25+4(2x+5)=-61
-25+8X+20=-61
8X=-61+25-20
8X=-56
X=-56/8
X=-7 ANS.
PROOF:
-25+4(2*-7+5)=-61
-25+4(-14+5)=-61
-25+4*-9=-61
-25-36=-61
-61=-61
Question 240015: 187=19+7(13-x)
Answer by checkley77(7072) (Show Source):
Question 239940: Solve 7x^2=49x
Answer by vleith(1977) (Show Source):
Question 239758: 9x+18
please help me tanx!! alicia
Answer by unlockmath(121)  (Show Source):
You can put this solution on YOUR website!Hi Alicia,
The way to look at this is what can you pull out from each that is similar?
Looks like 9 is the only thing so it would look like this:
9(x+2)
You can check this out by multiplying both (x + 2) by 9 and see if it is back to the original expression we started with. Does it work?
RJ Toftness
www.math-unlock.com
Question 239528: what is the solution of 30y = -60?
Answer by solver91311(5072)  (Show Source):
Question 239251: Please help me solve this problem
(9sprt6-7sqrt5)(sqrt6-2sqrt5)
Thanks
Cathy
Answer by josmiceli(3013) (Show Source):
Question 239187: (8sqrt7-8sqrt2)(sqrt7+sqrt2)
I need help with the problem please.
Thanks
Cathy
Answer by checkley77(7072) (Show Source):
Question 238855: Can you please show me the steps for solving?
x+3(x-1)=x+18
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!x+3(x-1)=x+18 MULTIPLY 3(X-1)
X+3X-3=X+18 COMBINE THE X TERMS
4X-X=18+3 ADD LIKE TERMS
3X=21 DIVIDE BY 3
X=21/3 REDUCE THE FRACTION
X=7 ANS.
PROOF:
7+3(7-1)=7+18
7+3*6=25
7+18=25
25=25
Question 237899: x + 14 = - 12
Answer by vleith(1977) (Show Source):
Question 237617: Im sorry if the category is wrong
a^2-[(a-b)^2+ (a-b)(a+b)] =
thank you!
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!a^2-[(a-b)^2+ (a-b)(a+b)]
-------
= a^2 - [ (a^2-2ab+b^2) + (a^2-b^2)]
---
= a^2 - [2a^2 -2ab]
---
= 2ab - a^2
=====================
Cheers,
Stan H.
Question 237365: can you show me an example for 2(2+k)=14?
Answer by nyc_function(260)  (Show Source):
Question 236856: 8a^3-27
Answer by edjones(3299)  (Show Source):
Question 235966: what is the product to this question: (5y-2)(3y+4)
Answer by rfer(2688) (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(260) (Show Source):
Question 235599: what is -2[a+3]=36
Answer by rfer(2688) (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(5072) (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(6693)  (Show Source):
Question 234594: How do I factor -70a^4 + 68a^3 - 16a^2
Answer by Earlsdon(4900) (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(5072) (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(26297) (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(6097)  (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(3625) (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(26297) (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(6097) (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(121) (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(6097) (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(675)  (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(7072) (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(7072) (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(3625) (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(2688) (Show Source):
Answer by texttutoring(36)  (Show Source):
Question 230936:
2(x+4)
Answer by rfer(2688) (Show Source):
Question 230787: what is the quotient in dividing -11x^3y^4 and 121x^4y^3?
Answer by checkley77(7072) (Show Source):
Question 228793: How do i do this problem step by step.
13[7+w+(-9)]
&&,
-29(p-21-5)
Answer by stanbon(26297) (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(2688) (Show Source):
Question 230077: simplify each expression
3(a+2)+a
Answer by rapaljer(3625) (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
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