# How do you simplify (x+9)(x+2)?

Apr 5, 2018

${x}^{2} + 11 x + 18$

#### Explanation:

USE FOIL:

FIRST: Multiply $x$ by $x$ to get ${x}^{2}$
OUTSIDE: Multiply $x$ by 2 to get $2 x$
INSIDE: Multiply $x$ by 9 to get $9 x$
LAST: Multiply 9 by 2 to get 18

Then add each answer together to get ${x}^{2} + 2 x + 9 x + 18$
Which simplifies to ${x}^{2} + 11 x + 18$

Apr 6, 2018

${x}^{2} + 9 x + 2 x + 18$
${x}^{2} + 11 x + 18$

#### Explanation:

$x$ times $x$, $x$ times $2$, $9$ times $x$, $9$ times $2$

Apr 6, 2018

${x}^{2} + 11 x + 18$ using FOIL

#### Explanation:

We can simplify thus using the highly useful mnemonic FOIL, standing for Firsts, Outsides, Insides, Lasts. You'll see we'll multiply the first terms, outside terms, inside terms and last terms. Here's a breakdown:

• First terms: $x \cdot x = \textcolor{b l u e}{{x}^{2}}$
• Outside terms: $x \cdot 2 = \textcolor{b l u e}{2 x}$
• Inside terms: $9 \cdot x = \textcolor{b l u e}{9 x}$
• Last terms: $9 \cdot 2 = \textcolor{b l u e}{18}$

Thus, we have:

$\textcolor{b l u e}{{x}^{2} + 2 x + 9 x + 18}$

Which simplifies to

$\textcolor{b l u e}{{x}^{2} + 11 x + 18}$

Hope this helps!