Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 13070: I DONT UNDERSTAND THEM I NEED SOMEONE TO EXPIAN THEM..IN SIMPLE WORDS PLEASE!!!..ASAP
Click here to see answer by elima(1433)

Question 13100: I am having difficulty solving the following problem. The instructions are
Factor the polynomial completely
3x^2 + 6x + 3
Thank you
Click here to see answer by rahman(247)

Question 13106: How can I finish factoring the following?
5x^2 + 10x = 5x(x + 2)
Thank you for your assistance

Click here to see answer by glabow(165)

Question 13155: x^4-5x^3+12x^2-5x-2
factorise it
Click here to see answer by uksraj(9)

Question 13218: Hi! I've just got a few questions about how to factor polynomials completely.
I'm wondering if you could help me solve the following questions, explaining each step as you go. 7x*2+14x-21 and 10x*2y+8xy*2+6xy
Click here to see answer by Earlsdon(4898)

Question 13183: Im not sure if you received this the first time I sent (nothing came through email). Thank you so much!! i have what i have come up with for answers..I just need to check and see if correct.

Write each rational expression in lowest terms:

1. x^2(x+1) / x(x+1)

2. (x+4)(x-3) / (x+5)(x+4)

3. 5r-20 / 3r-12

4. 5s-25 / s^2 - 25
Click here to see answer by rahman(247)

Question 13324: How do I EXPAND this problem?
(x-2)^2-(x^2-3x+4)
Click here to see answer by longjonsilver(2297)

Question 13445: GFC of binomial. I know the GFC is (5-x) but I am not sure how to get the rest of the answer.
3(5-X)^4+2(5-X)^3-(5-X)^2.
Click here to see answer by Earlsdon(4898)

Question 13551: i dont understand how to do this work....
solve for x
(4x+1)-(x+4)=18
i know that you have to remove par.
so i did that
and then my teacher told me to combine like terms..
that leaves me with 3x+5=18
then now i subtract 5 from both sides...
that leaves me with 3x=13
i dont think that i did that right
but i always get stuck
on certain parts
can you please help me to try to understand how to do this?
any help would be appreciated
Click here to see answer by ntnk(49)

Question 13598: I have no idea how to solve this question sqrt2y^2 - 3y - 10 = y can someone help me?
Click here to see answer by longjonsilver(2297)

Question 13817: x2 + 6x= 0
x=0
Click here to see answer by volleyball(3)

Question 13506: I need to find the GCF of the following expression: 5rsquared -3raquared + 4r I don't get how to do that when the numbers don' reduce and they are even and odd numbers?
Click here to see answer by LilSkittleMd(119)

Question 14079: Can you Show Me how to solve this problem step by step it is
(x^2 - 10x - 24) / (x + 2)
i am supposed to use the DIVISION ALGORITHM
Click here to see answer by rahman(247)

Question 11056: Simplify x^2-2x-35/2x^2+10x
Click here to see answer by rahman(247)

Question 14255: I don't understand how to write an equation for this problem
If Tickets to the prom are $25.50 and $4590 is collected from ticket sales, how many tickets were sold?
Click here to see answer by gsmani_iyer(161)

Question 14320: How should the following polynomial be factored? Thank you!

Click here to see answer by LilSkittleMd(119)

Question 14329: x-3 over x-2 + x+1 over x+3 equals 2x squared +x+1 over x squared +x-6
for some reason my solution is x= -5 and in the andswer section of my book the solution is x= 6. am I right or wrong?
Click here to see answer by Earlsdon(4898)

Question 14350: I have been working on this all day. could someone explain this problem to me i am working with adding and subtracting rational expressions with different denominators.
4x/2x^2 + x - 10 - 9x/x^2 + x - 6

Click here to see answer by Earlsdon(4898)

Question 14393:
i can not understand what i am doin wrong in this prob..
i took the paren. away..
then i multiplied everything in the secon par. by 1 and changed the signs...

then i combined like terms...
i got the answer

now i know that it was wrong cause my teacher told me that it was...but can you please help me to beter under stand this?
thanks

Click here to see answer by elima(1433)

Question 14392:
i dont understand how you are suppose to work that can you show me step by step please?
i tried it and this is what i got

Click here to see answer by elima(1433)

Question 14388: could you please help Me with this problem?

Click here to see answer by elima(1433)

Question 14574: How do you do: (3u-v)(7u^2+2uv-2v^2)
Click here to see answer by rahman(247)

Question 14592: Fastoring completely 32x^2y-2y^3
Click here to see answer by Earlsdon(4898)

Question 14732: I am trying to help my son find the powers of a monomial, eg: -4x^2(-4x)^2, and (4a^2b^3)^2.
My problem is not having done this for over 30 years, I'm a bit rusty in the process. CAn you show me the steps?
Click here to see answer by Earlsdon(4898)

Question 14706: can you show me how to solve step by step t^2-13t+42
Click here to see answer by rahman(247)

Question 14873: w/2+7=w/3+9
what does w =
Click here to see answer by jb007mi6(53)

Question 14879: please help me solve:
Click here to see answer by jb007mi6(53)

Question 14893: Can someone help me solve this problem:
Click here to see answer by rapaljer(3620)

Question 14931: if two-thirds of a woman's age is 42. How old is she?
Click here to see answer by Drpengui(15)

Question 14947: Solve for x in these equations. Verify the solutions.

18-(x+3)-2x=4+(x-5)
Click here to see answer by rahman(247)

Question 14945: Solve for x in these equations.Verify the solutions.

5(x-3)+2(3-x)=12
Click here to see answer by rahman(247)

Question 14937: The difference of two numbers is 18, and their sum is 90. find the two numbers.
Click here to see answer by bam878s(76)

Question 14935: A boy's age is three times the age of his sister. Their ages together total 16 years. What is the age of each?
Click here to see answer by bam878s(76)

Question 14331: I Need Help Solving This Problem....
x/5 - x+2/3 = 1/15
Click here to see answer by venugopalramana(3286)

Question 14332: How Do I Solve This Problem?
x-2/2 - x+2/4 = 1/2
Click here to see answer by venugopalramana(3286)

Question 14934: The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the number.
Click here to see answer by venugopalramana(3286)

Question 14944: Solve for x in these equations.Verify the solutions.

1/2x=12
Click here to see answer by LilSkittleMd(119)

Question 15477: How do I solve the below question
3 square root a/27
Click here to see answer by rapaljer(3620)

Question 15506: what is the product of this (x+3)(3x-5)?
Click here to see answer by smik(40)

Question 15694: Please can you resolve this into partial fractions

Thanks
Click here to see answer by venugopalramana(3286)

Question 15615: A rectangle is twice as long as it is wide. If both its dimensions are increased by 4 meters, its area is increased by 88meters squared. Find the dimesions of the original rectangle.
I have tried this, but know it's not right.
(2x+4)(x+4)-(2x)(x)=x+88
2xsquared+8x+4x+16-2xsquared=x+88
12x+16=x+88
12x=x+72
11x=72
Where have I gone wrong?? I sent two questions, but this the one I need help on.
Click here to see answer by vasu2qute(17)

Question 15622: if x=5 and y=36 what is x92+y834
Click here to see answer by pwac(251)

Question 15820: I don't know how to do these problems could u help me solve them step by step they are:
4x-7=3x
1/4x+9(1/4x-5/8)=7/8;
2/5(20x-10)-8=1/7(14x+28)+6x;
5(3-x)-12>4(x+6)

Click here to see answer by marcelita(1)

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