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

3 Answers
Apr 5, 2018

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

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

Explanation:

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

Apr 6, 2018

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!