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:


`(4 x^(2) +10x-6)/(2x-1)`

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


`(4 x^(2) +12x-2x-6)/(2x-1) \\ \\ = (4x(x+3)-2(x+3))/(2x-1) \\ \\ = ((4x-2)(x+3))/(2x-1) \\ \\ = (2(2x-1)(x+3))/(2x-1) \\ \\ =2(x+3)`

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