SOLUTION: My book says that the solution of this problem: [ (x^2 - y^2) / (4x + 4y) ] / [ (3y - 3x) / (12x^2) ] is (-x^2) , but no matter what I do, I can only find x^2. Help.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: My book says that the solution of this problem: [ (x^2 - y^2) / (4x + 4y) ] / [ (3y - 3x) / (12x^2) ] is (-x^2) , but no matter what I do, I can only find x^2. Help.       Log On


   

Question 33454This question is from textbook Intermediate Algebra: Graphs and Models
: My book says that the solution of this problem:
[ (x^2 - y^2) / (4x + 4y) ] / [ (3y - 3x) / (12x^2) ]


is (-x^2) , but no matter what I do, I can only find x^2.
Help. Thank you. This question is from textbook Intermediate Algebra: Graphs and Models

Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
Your book's answer is correct.
[(x^2-y^2)/(4x+4y)]/[(3y-3x)/(12x^2)]
= [(x+y)(x-y)]/[4(x+y)]*(12x^2)/[3(y-x)]
= (x-y)(x^2)/[-(x-y)]
= -x^2