SOLUTION: what is the simplifies version of 3x^2-4x-4 _________ 4x^2-3x-10

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Question 272332: what is the simplifies version of 3x^2-4x-4
_________
4x^2-3x-10
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(3x^2-4x-4)/(4x^2-3x-10)
.
3x^2-4x-4
=3x^2-6x+2x-4
=3x(x-2)+2(x-2) factor by grouping.
=(3x+2)(x-2)
.
4x^2-3x-10
=4x^2-8x+5x-10
=4x(x-2)+5(x-2)
=(4x+5)(x-2)
.
(3x+2)(x-2)/(4x+5)(x-2)
=(3x+2)/(4x+5)
.
Ed