# How do you simplify the product (a^2 + a + 1)(a - 1) and write it in standard form?

Jun 4, 2016

${a}^{3} - 1$

#### Explanation:

multiplying a polynomial by a binomial has the same steps as multiplying two binomials. take the first variable and multiply it by the variables, in order, in the second brackets.

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

first multiply ${a}^{2}$ by $a$ and then by $1$. follow suit with the $a$ and the $+ 1$

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

collect like terms. the ${a}^{2}$ and the $a$ will cancel each other out.

${a}^{3} - 1$