# What is the standard form of  y= (2x-9)^3+(6x-2)^2?

Jan 20, 2017

$y = 8 {x}^{3} - 72 {x}^{2} + 462 x - 725$

#### Explanation:

$y = {\left(2 x - 9\right)}^{3} + {\left(6 x - 2\right)}^{2}$

$y = \left(2 x - 9\right) \left(2 x - 9\right) \left(2 x - 9\right) + \left(6 x - 2\right) \left(6 x - 2\right)$

$y = \left(8 {x}^{3} - 108 {x}^{2} + 486 x - 729\right) + \left(36 {x}^{2} - 24 x + 4\right)$

$y = 8 {x}^{3} - 72 {x}^{2} + 462 x - 725$