Factor Difference of Squares

Front

What is the difference of squares formula?

Back

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

Front

Factor the expression: 9x^2 - 49y^6

Back

(3x - 7y^3)(3x + 7y^3)

Front

Factor the expression: 121x^2 - 49

Back

(11x - 7)(11x + 7)

Front

Factor the expression: x^2 - 225

Back

(x - 15)(x + 15)

Front

Can the expression 16x^2 + 25 be factored?

Back

Unfactorable

Front

Factor the expression: 25x^2 - 81

Back

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

Front

What does it mean for an expression to be 'unfactorable'?

Back

It means the expression cannot be expressed as a product of simpler polynomials.

Front

What is a perfect square trinomial?

Back

An expression of the form a^2 ± 2ab + b^2, which factors to (a ± b)^2.

Front

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

Back

Identify the squares and apply the difference of squares formula.

Front

Factor the expression: 4x^2 - 16

Back

4(x - 2)(x + 2)