simplify (2a+12)(3a+3)+a

Question

need to know if you use FOIL to simplify this problem

Answer 1

Yes, Foil is key here! First, Outside, Inside, Last! Whenever you see sets of parentheses right next to one another it means to multiply, and if the parentheses include an operation (+,-,*) and variables (a,b,x,y) then we use FOIL to simplify.

Example:

(2x+3)(6x+2)+x

First, focus on the parentheses (PEMDAS)

(2x+3)(6x+2)

Now FOIL,

F: (2x*6x) = 12x^2

O: (2x*2) = 4x

I: (3*6x) = 18x

L:(3*2) = 6

12x^2+4x+18x+6

Simplify, combine like terms

12x^2+22x+6

Don't forget your original equation included +x, so

12x^2+22x+6+x

Simplify

12x^2+23x+6