Search 85,333 tutors
FIND TUTORS
Ask a question
0 0

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

Tutors, please sign in to answer this question.

1 Answer

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