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# express in simplest terms?

6x^2-5x-4 all over 8-2x-3x^2

### 2 Answers

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- Carl DLv 41 decade agoFavorite Answer
I get:

-(2x+1)/(x+2)

Factoring the numerator:

6x^2-5x-4 = (3x-4)(2x+1)

Factoring the denominator:

-3x^2-2x+8 = -(3x^2+2x-8), factored out -1

-(3x^2+2x-8) = -(3x-4)(x+2)

As a whole fraction:

(3x-4)(2x+1) / -(3x-4)(x+2)

Move the -1 to the numerator:

-(3x-4)(2x+1) / (3x-4)(x+2)

Cancel the (3x-4) and you get:

-(2x+1)/(x+2)

- 1 decade ago
factor the top and the bottom so you get:

(3x-4)(2x+1)/(-(3x-4)(x+2))

Therefore, the (3x-4) s cancel, and your final answer is

(2x+1)/(-x-2)

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