# The standard form of y = (6x +12)^3 ­- (13x-2)^2?

Feb 2, 2016

$y = 216 {x}^{3} + 1127 {x}^{2} + 1780 x + 860$

#### Explanation:

To express a polynomial in standard form you need to multiply it out to get rid of the brackets, simplify the result and then order the terms in descending order of powers.

$y = {\left(6 x + 12\right)}^{3} - {\left(13 x - 2\right)}^{2}$

$y = \left(6 x + 12\right) \left(36 {x}^{2} + 144 x + 144\right) - \left(169 {x}^{2} - 52 x + 4\right)$

$y = 216 {x}^{3} + 864 {x}^{2} + 864 + 432 {x}^{2} + 1728 x + 1728 - 169 {x}^{2} + 52 x - 4$

$y = 216 {x}^{3} + 1127 {x}^{2} + 1780 x + 860$