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Chapter 5: Q. 287 (page 539)

Why does (a+b)2result in a trinomial, but(a鈭�b)(a+b)result in a binomial?

Short Answer

Expert verified

a+b2results in a trinomial because the middle term is double the product of the terms.

a-ba+b results in a binomial because there is no middle term.

Step by step solution

01

Step 1. Given information 

a+b2 results in a trinomial, buta-ba+bresults in binomial

02

Step 2. 

a+b2results in a trinomial because when we perform the product the inner and outer terms with FOIL are the same.

But the middle term is double the product of the terms.

03

Step 3. 

a-ba+b results in a binomial because when we perform the product the inner and outer terms with FOIL are opposite and there is no middle term.

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