# How do you simplify (p+2)(p+6)?

Oct 1, 2016

$\left(p + 2\right) \left(p + 6\right) = {p}^{2} + 8 p + 12$

#### Explanation:

If you find it helpful you can use the FOIL ("First", "Outside", "Inside", "Last") mnemonic to enumerate all the combinations of terms from the two binomial factors:

$\left(p + 2\right) \left(p + 6\right) = {\overbrace{\left(p \cdot p\right)}}^{\text{First" + overbrace((p*6))^"Outside" + overbrace((2*p))^"Inside" + overbrace((2*6))^"Last}}$

$\textcolor{w h i t e}{\left(p + 2\right) \left(p + 6\right)} = {p}^{2} + 6 p + 2 p + 12$

$\textcolor{w h i t e}{\left(p + 2\right) \left(p + 6\right)} = {p}^{2} + 8 p + 12$