# How do you simplify 15x^2+1-[4(x^2-6)+5]?

Apr 23, 2018

$11 {x}^{2} + 20$

#### Explanation:

$15 {x}^{2} + 1 - \left[4 \left({x}^{2} - 6\right) + 5\right]$

$15 {x}^{2} + 1 - \left[4 {x}^{2} - 24 + 5\right]$

15x^2+1-4x^2+24-5]

$11 {x}^{2} + 20$

Apr 23, 2018

$11 {x}^{2} - 20$

#### Explanation:

We go through the inner parenthesis to the outer ones:
$4 \left({x}^{2} - 6\right) = 4 {x}^{2} - 24$
$4 {x}^{2} - 24 + 5 = 4 {x}^{2} - 19$ $15 {x}^{2} + 1 - \left(4 {x}^{2} - 19\right) = 15 {x}^{2} + 1 - 4 {x}^{2} + 19$
$= 11 {x}^{2} - 20$