Factoring Difference of Squares and Perfect Square Trinomials

Front

What is the difference of squares formula?

Back

The difference of squares formula states that for any two terms a and b, the expression a^2 - b^2 can be factored as (a + b)(a - b).

Front

Factor the expression: 4a^2 - 25

Back

(2a + 5)(2a - 5)

Front

Factor the expression: x^2 - 16

Back

(x + 4)(x - 4)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (a + b)^2 = a^2 + 2ab + b^2.

Front

Factor the expression: x^2 + 18x + 81

Back

(x + 9)^2

Front

Identify the perfect square trinomial: 9m^2 + 6m + 1

Back

9m^2 + 6m + 1 is a perfect square trinomial, factored as (3m + 1)^2.

Front

What is the formula for factoring a perfect square trinomial?

Back

The formula for factoring a perfect square trinomial is: a^2 + 2ab + b^2 = (a + b)^2.

Front

Factor the expression: 25x^2 + 4

Back

Not Factorable

Front

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

Back

Identify the two perfect squares in the expression and apply the difference of squares formula.

Front

Factor the expression: x^2 - 9

Back

(x + 3)(x - 3)