Perfect Square Trinomial

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It takes the form (a + b)² = a² + 2ab + b² or (a - b)² = a² - 2ab + b².

Front

Factor the expression: 25x² - 81

Back

(5x - 9)(5x + 9)

Front

Factor the expression: 9x² + 6x + 1

Back

(3x + 1)²

Front

Factor the expression: 25x² + 60x + 36

Back

(5x + 6)²

Front

What are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

Factor the expression: 25x² - 70x + 49

Back

(5x - 7)²

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² ± 2ab + b².

Front

How do you identify a perfect square trinomial?

Back

A trinomial is a perfect square if the first and last terms are perfect squares and the middle term is twice the product of the square roots of the first and last terms.

Front

What is the square of (3x + 2)?

Back

(3x + 2)² = 9x² + 12x + 4.

Front

What is the square of (x - 5)?

Back

(x - 5)² = x² - 10x + 25.