Question

How to find the products of binomials

Answer 1

FOIL Method! (EXPLAINED BELOW)

Explanation:

FOIL MEANS First Out In Last.

For example:

Binomial: (a+b) (a+b)

STEP 1: Multiply the first term of each bracket.

(a+b) (a+b)

So, a * a = 
`a^(2)`

The number would be positive since both terms are positive.

STEP 2: Multiply the outer terms.

(a+b) (a+b)

So, a * b = ab

The number would be positive since both terms are positive.

STEP 3: Multiply the inner terms.

(a+b) (a+b)

So, a * b = ab

The number would be positive since both terms are positive.

STEP 4: Multiply the last terms.

(a+b) (a+b)

So, b * b =
`b^(2)`

The number would be positive since both terms are positive.

STEP 5: Put them together with the appropriate signs.

`a^(2) + 2ab + b^(2)`