Question

part 3 of 3 (c) when a binomial is squared, the resulting trinomial is a select square trinomial. this is given by the formula (a + b)^2 =

Explanation:

Step1: Recall the concept of perfect - square trinomial

When a binomial is squared, the resulting trinomial is a perfect - square trinomial.

Step2: Expand \((a + b)^2\) using the distributive property

\((a + b)^2=(a + b)(a + b)=a\times a+a\times b+b\times a + b\times b=a^{2}+2ab + b^{2}\)

Answer:

perfect; \(a^{2}+2ab + b^{2}\)