# Precalculus Examples

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 or times the product of the square root of the first term and the square root of the third term.

Step 2

Pull terms out from under the radical, assuming positive real numbers.

Step 3

Step 3.1

Rewrite as .

Step 3.2

Pull terms out from under the radical, assuming positive real numbers.

Step 4

The first term is a perfect square. The third term is a perfect square. The middle term is times the product of the square root of the first term and the square root of the third term .

The polynomial is a perfect square.