# What is the standard form of  y= (-x+1)^3-(2x-1)^2?

Feb 16, 2016

$y = - {x}^{3} - {x}^{2} - 7 x$

#### Explanation:

A general polynomial is in standard form when its terms are arranged in decrease degrees.

{: (,(-x+1)^3, =, ,-x^3,+3x^2,-3x,+1), (-,(2x-1)^2,=,-,,4x^2,-4x,+1), ("---","----------","----","----","----","----","----","----"), (,,,,-x^3,-x^2,-7x,) :}

$\left(- {x}^{3}\right)$ is of degree $3$
$\left(- {x}^{2}\right)$ is of degree $2$
$\left(- 7 x\right)$ is of degree $1$
So this arrangement is in standard form