# What is the standard form of a polynomial (3^2 - 5x) - (x^2+4x +3)?

May 30, 2017

$- {x}^{2} - 9 x + 6$

#### Explanation:

$\left({3}^{2} - 5 x\right) - \left({x}^{2} + 4 x + 3\right)$

First, let's deal with the exponent:

$\left(9 - 5 x\right) - \left({x}^{2} + 4 x + 3\right)$

Now let's distribute the negative in front of the second component:

$\left(9 - 5 x\right) + \left(- {x}^{2} - 4 x - 3\right)$

We no longer need the parantheses, so let's combine like terms:

$\textcolor{\mathmr{and} a n \ge}{9} \textcolor{b l u e}{- 5 x} + \textcolor{red}{- {x}^{2}} \textcolor{b l u e}{- 4 x} \textcolor{\mathmr{and} a n \ge}{- 3}$

$- {x}^{2} - 9 x + 6$