SOLUTION: 1. Why is the product of squaring a binomial a perfect square trinomial? I need your help on our topic about Squaring Binomials. Please answer my question immediately. Thanks in

Question 624443: 1. Why is the product of squaring a binomial a perfect square trinomial?
I need your help on our topic about Squaring Binomials. Please answer my question immediately. Thanks in advance!
Found 2 solutions by Alan3354, richard1234:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Why is the product of squaring a binomial a perfect square trinomial?
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Squaring anything gives a perfect square.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
First off, a perfect square is a perfect square. If you want to know why it is a trinomial (as opposed to a polynomial with four terms or two terms) here's why.

Let a and b be two arbitrary monomials (e.g. a = 5xy, b = 2z, etc.). Then

Regardless of our choice of a and b (as long as they're monomials), will have three terms. The exception is if a = 0, or a = b, etc. but in this case we'll assume the binomial is in simplest form.
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