# How do you simplify (4x - 3)^3?

Jul 19, 2017

Expand and then simplify.

#### Explanation:

1. Begin by writing your brackets separately.
$\left(4 x - 3\right) \left(4 x - 3\right) \left(4 x - 3\right)$

2. Then expand and simplify two of the brackets.
$\left(16 {x}^{2} - 12 x - 12 x + 9\right) \left(4 x - 3\right)$
$\left(16 {x}^{2} - 24 x + 9\right) \left(4 x - 3\right)$

3. Now expand your quadratic by the final bracket and then simplify.
$64 {x}^{3} - 96 {x}^{2} + 36 x - 48 {x}^{2} + 72 x - 27$
$64 {x}^{3} - 144 {x}^{2} + 108 x - 27$

Hope this has helped.