# How do you multiply (x+1)(x+4)?

Apr 18, 2016

${x}^{2} + 5 x + 4$

#### Explanation:

first multiply $x$ with $\left(x + 4\right)$ and then $1$ with again $\left(x + 4\right)$
so ${x}^{2} + 4 x + x + 4$
${x}^{2} + 5 x + 4$

Apr 18, 2016

Use FOIL to help find:

$\left(x + 1\right) \left(x + 4\right) = {x}^{2} + 5 x + 4$

#### Explanation:

If you find it helpful, you can use the FOIL mnemonic to help you identify which terms to combine.

$\left(x + 1\right) \left(x + 4\right) = {\overbrace{\left(x \cdot x\right)}}^{\text{First" + overbrace((x*4))^"Outside"+overbrace((1*x))^"Inside"+overbrace((1*4))^"Last}}$

$= {x}^{2} + 4 x + x + 4 = {x}^{2} + 5 x + 4$