# What is the standard form of a polynomial (a+3)(a-1)?

Apr 13, 2017

See the entire solution process below:

#### Explanation:

To put this expression in the standard form multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{a} + \textcolor{red}{3}\right) \left(\textcolor{b l u e}{a} - \textcolor{b l u e}{1}\right)$ becomes:

$\left(\textcolor{red}{a} \times \textcolor{b l u e}{a}\right) - \left(\textcolor{red}{a} \times \textcolor{b l u e}{1}\right) + \left(\textcolor{red}{3} \times \textcolor{b l u e}{a}\right) - \left(\textcolor{red}{3} \times \textcolor{b l u e}{1}\right)$

${a}^{2} - 1 a + 3 a - 3$

We can now combine like terms:

${a}^{2} + \left(- 1 + 3\right) a - 3$

${a}^{2} + 2 a - 3$