Academic Subjects
Math
Algebra
Algebraic Equations
Combine Terms (1+2w+3w2) (3+2w+w2)

Combine Terms
(1 + 2w + 3w2)(3 + 2w + w2)



First, we want to mutiply each term (FOIL)

first outer

(1 + 2w + 3w2) (3 + 2w + w2)

3 + 2w + w2

foiling

(1 + 2w + 3w2) (3 + 2w + w2)

+ 6w + 4w2 + 2w3

foiling

(1 + 2w + 3w2) (3 + 2w + w2)

+ 9w2 + 6w3 + 3w4

inner last



and now, we'll combine like terms

3     + 2w + w2 + 6w + 4w2 + 2w3 + 9w2 + 6w3 +     3w4

3     + 8w + w2 + 4w2 + 2w3 + 9w2 + 6w3 +     3w4

3     + 8w + 14w2 + 2w3 + 6w3 +     3w4

3     + 8w + 14w2 + 8w3 +     3w4