Q:

What is a trinomial square?

A:

Quick Answer

When a binomial algebraic expression is squared, the result is a trinomial square. If (a + b) is squared, it yields a trinomial square. The expression (a + b) is a binomial and not a trinomial.

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Full Answer

A binomial has two algebraic expressions, while a trinomial has three algebraic expressions.

(a + b)�� = a�� + 2ab + b�� and (a - b)�� = a�� - 2ab + b�� are both the squares of a binomial. The expressions a�� + 2ab + b�� and a�� - 2ab + b�� are both trinomial squares. These algebraic expressions are also referred to as expansion formulas or identities in algebra.

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