Factoring Difference of Squares and Perfect Square Trinomials

Front

What is the difference of squares formula?

Back

a^2 - b^2 = (a + b)(a - b)

Front

Factor the expression: x^2 - 9

Back

(x + 3)(x - 3)

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., a^2 + 2ab + b^2 = (a + b)^2.

Front

Factor the expression: 25x^2 + 60x + 36

Back

(5x + 6)^2

Front

Factor the expression: n^2 + 10n + 25

Back

(n + 5)^2

Front

Can the expression 9n^2 + 1 be factored using the difference of squares?

Back

No, it cannot be factored using the difference of squares.

Front

Is x^2 + 14x + 49 a perfect square trinomial?

Back

Yes, it is.

Front

What is the first step in factoring a difference of squares?

Back

Identify the two perfect squares in the expression.

Front

Factor the expression: x^2 - 16

Back

(x + 4)(x - 4)

Front

What is the general form of a perfect square trinomial?

Back

a^2 + 2ab + b^2 or a^2 - 2ab + b^2.