Proof: Perfect Square Trinomials

The square of any binomial produces the following three terms: 1.   The square of the first term of the binomial:  a2 2.   Twice the product of the two terms:  2ab 3.   The square of the second term:  b2 The square of every binomial has that form:  a2 + 2ab + b2. This form is called a perfect square trinomial.