Question

Identify the expression as a perfect-square trinomial, a difference of squares, or neither. Factor the expression.

64p2 + 64p + 16

The expression is .
a. neither
b. perfect square trinomial
c. a difference of squares
The factored expression is ________

Answer 1

The expression 64p^2 + 64p + 16 is a perfect square trinomial because it can be factored as the square of a binomial.

To factor it, you can recognize that it's the square of (8p + 4), which can be factored as follows:

64p^2 + 64p + 16 = (8p + 4)^2

So, the factored expression is (8p + 4)^2.

Explanation: