Question

What is the factored form of 16x^2-16x-12

Answer 1

The answer is 4(4x^2−4x−3)

Answer 2

The factored form of
`16x^(2) - 16x - 12 \text { is } 4(2x - 3)(2x + 1)`

Solution:

From question, given that
`16x^(2)-16x-12`

To factorize the given expression, follow the below steps:

`16x^(2)-16x -12`---- eqn 1

Taking 4 as a common term in equation 1, we get

`=4\left(4 x^(2)-4 x-3\right)`

“4x” can be rewritten as –6x+2x. Now the above equation becomes,

`=4\left(4 x^(2)-6 x+2 x-3\right)`

By taking 2x as common from
`4x^(2)-6x`, the above equation becomes,

`=4[2x(2 x-3)+1(2 x-3)]`

`=4(2 x-3)(2 x+1)`

Hence the factor of
`16 x^(2)-16 x-12 \text { is } 4(2 x-3)(2 x+1)`