# How do you simplify the product  (a - 11)(a + 5) and write it in standard form?

Feb 13, 2016

${a}^{2} - 6 a - 55$

#### Explanation:

$\left(a - 11\right) \left(a + 5\right)$

These are two binomials so,use the FOIL method of multiplying binomials.

$\underline{F} i r s t \rightarrow a \cdot a = {a}^{2}$

$\underline{O} u t e r \rightarrow a \cdot 5 = 5 a$

$\underline{I} n$$n$$e r \rightarrow - 11 \cdot a = - 11 a$

$\underline{L} a$$s t$$\rightarrow - 11 \cdot 5 = - 55$

Now combine them together:

$\rightarrow {a}^{2} + 5 a - 11 a - 55$

$\Rightarrow = {a}^{2} - 6 a - 55$