SOLUTION: Multiply the following fractions. 2x^2 - x - 3 3x^2 - 11x - 20 ___________ . ___________ ___ 3x^2+7x + 4 4x^2 - 9 Please help me thanks so much.

Algebra.Com
Question 28982: Multiply the following fractions.
2x^2 - x - 3 3x^2 - 11x - 20
___________ . _______________
3x^2+7x + 4 4x^2 - 9
Please help me thanks so much.

Answer by sdmmadam@yahoo.com(530)   (Show Source): You can put this solution on YOUR website!
(2x^2 - x - 3) (3x^2 - 11x - 20)
___________ . _______________
(3x^2+7x + 4) (4x^2 - 9)

=(2x-3)(x+1) (x-5)(3x+4)
___________ . _______________
(3x+4)(x+1) (2x+3)(2x-3)
=(x-5)/(2x+3) (canceling (2x-3)(x+1)(3x+4) )
Answer: (x-5)/(2x+3)
Note:(2x^2 - x - 3)
=2x^2-3x+2x-3
=x(2x-3)+1(2x-3)
=(2x-3)(x+1)
(3x^2 - 11x - 20)
=3x^2-15x+4x-20
=3x(x-5)+4(x-5)
=(x-5)(3x+4)
(3x^2+7x + 4)
=3x^2+4x+3x+4
=x(3x+4)+1(3x+4)
=(3x+4)(x+1)
(4x^2 - 9)
=(2x)^2-(3)^2
= (2x+3)(2x-3) (using a^2-b^2 = (a+b)(a-b)



RELATED QUESTIONS

I am having to multiply the fractions, please show me how to do this. 2x^2-x-3... (answered by Earlsdon,jim_thompson5910)
multiply the fractions:... (answered by Edwin McCravy)
Multiply the following fraction. 2x^2 – x -3 / 3x^2 + 7x + 4 * 3x^2 – 11x – 20 / 4x^2 (answered by rmromero)
Multiply the following fractions. 2x²-x-3 * 3x²+11x-20 _______ (answered by edjones)
multiply 2x^2 - x - 3/3x^2 + 7x + 4 . 3x^2 - 11x - 20/4x^2 -... (answered by jayanthihemkos@yahoo.com)
Multiply. 2x^2 - x - 3/3x^2 + 7x + 4 times 3x^2 - 11x-20/4x^2 - 9... (answered by gsmani_iyer)
Multiply the fractions. Be sure to simplify completely. 2x^2-x-3 3x^2-11x-20... (answered by ankor@dixie-net.com)
please help me multiply? 2x^2-x-3 over 3x^+7x+4 times 3x^2-11x-20 over... (answered by Cintchr)
I need to multiply the fraction: 2x^2-x-3/3x^2+7x+4 * 3x^2-11x-20/4x^2-9 Please help! (answered by jim_thompson5910)