Question

Simplify completely 4x^2-7x+3 / x^2 + 5x-6

Answer 1

Answer:

Your answer is D.

$\frac{4x-3}{x+6}$

Step-by-step explanation:

First, you have to factor by grouping.

Next, factor using AC method.

Last, cancel the common factor.

Now all you do is rewrite the expression.

Answer 2

Answer:

D)   $\frac{4x-3} {x+6}$

Step-by-step explanation:

First we have to factorize and then cancel the like terms.

Given,

$\frac{4x^2-7x+3} {x^{2}+5x-6}\\=\frac{4x^2-3x-4x+3} {x^{2}+6x-x-6}\\=\frac{x(4x-3)-1(4x-3)} {x(x+6)-1(x+6)}\\=\frac{(4x-3)(x-1)} {(x+6)(x-1)}$

Now, we got the like term  (x-1).

Canceling this like term we get

$\frac{(4x-3)(x-1)} {(x+6)(x-1)}=\frac{4x-3} {x+6}$