Question

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

Answer 1

`x^2+11x+18`

Explanation:

USE FOIL:

FIRST: Multiply `x` by `x` to get `x^2`
OUTSIDE: Multiply `x` by 2 to get `2x`
INSIDE: Multiply `x` by 9 to get `9x`
LAST: Multiply 9 by 2 to get 18

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

Answer 2

`x^2 + 9x +2x + 18`
`x^2 +11x +18`

Explanation:

`x` times `x`, `x` times `2`, `9` times `x`, `9` times `2`

Answer 3

`x^2+11x+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*x=color(blue)(x^2)`
• Outside terms: `x*2=color(blue)(2x)`
• Inside terms: `9*x=color(blue)(9x)`
• Last terms: `9*2=color(blue)(18)`

Thus, we have:

`color(blue)(x^2+2x+9x+18)`

Which simplifies to

`color(blue)(x^2+11x+18)`

Hope this helps!