How do you multiply (x + 2)(x + 10)?

Sep 10, 2016

$\left(x + 2\right) \left(x + 10\right) = {x}^{2} + 12 x + 20$

Explanation:

If you find it helpful, you can use the FOIL mnemonic to help enumerate all the required combinations of one term from the first binomial and one from the second:

$\left(x + 2\right) \left(x + 10\right) = {\overbrace{\left(x \cdot x\right)}}^{\text{First"+overbrace((x*10))^"Outside"+overbrace((2*x))^"Inside"+overbrace((2*10))^"Last}}$

$\textcolor{w h i t e}{\left(x + 2\right) \left(x + 10\right)} = {x}^{2} + 10 x + 2 x + 20$

$\textcolor{w h i t e}{\left(x + 2\right) \left(x + 10\right)} = {x}^{2} + 12 x + 20$