Question

Simplify the expression. 4x squared +10x - 6 divided by 2x - 1

Answer 1

$\frac{4 {x}^{2} + 10x - 6}{2x - 1}$

Answer 2

The given expression is:

$\frac{4 x^{2} +10x-6}{2x-1}$

In order to simplify the expression we need to factorize the numerator, as shown below:

$\frac{4 x^{2} +12x-2x-6}{2x-1} \\ \\ = \frac{4x(x+3)-2(x+3)}{2x-1} \\ \\ = \frac{(4x-2)(x+3)}{2x-1} \\ \\ = \frac{2(2x-1)(x+3)}{2x-1} \\ \\ =2(x+3)$

Thus, the simplified form of the expression is 2(x+3)