# What is the standard form of y= (x+3)^3(14-x)?

May 28, 2018

color(maroon)(=> -x^4 + 5x^3 + 99x^2 + 351x + 378 is the standard form.

#### Explanation:

${\left(x + 3\right)}^{3} \cdot \left(14 - x\right)$

$\implies \left({x}^{3} + 27 + 9 {x}^{2} + 27 x\right) \cdot \left(14 - x\right)$

$\implies 14 {x}^{3} + 378 + 126 {x}^{2} + 378 x - {x}^{4} - 27 x - 9 {x}^{3} - 27 {x}^{2}$

color(maroon)(=> -x^4 + 5x^3 + 99x^2 + 351x + 378 is the standard form.