Michael J. answered 03/25/15
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Effective High School STEM Tutor & CUNY Math Peer Leader
(x + 2)(x + 2)
When we multiply two binomials, we use a method known as FOIL.
F ---> first terms
O ---> outer terms
I ----> inner terms
L ----> last terms
Step F
Multiply the first terms in both binomial.
x * x = x2
Step O
Multiply the first term in the first binomial by the last term in the second binomial.
x * 2 = 2x
Step I
Multiply the last term in the first binomial by the first term in the second binomial.
2 * x = 2x
Step L
Multiply the last terms in both binomials.
2 * 2 = 4
Last step is to combine the results of the previous steps.
x2 + 2x + 2x + 4 =
x2 + 4x + 4