Determine if the Expression is a Perfect Square 4x^2+16x+64

$4 x^{2} + 16 x + 64$

Step 1

A trinomial can be a perfect square if it satisfies the following:

The first term is a perfect square.

The third term is a perfect square.

The middle term is either $2$ or $- 2$ times the product of the square root of the first term and the square root of the third term.

${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$

Step 2

The polynomial does not satisfy all qualifiers for being a perfect square.

The polynomial is not a perfect square