Difference of Squares

Front

What is the Difference of Squares formula?

Back

a² - b² = (a + b)(a - b)

Front

Factor the expression: x² - 16

Back

(x + 4)(x - 4)

Front

Factor the expression: 9y² - 25

Back

(3y + 5)(3y - 5)

Front

What does it mean for an expression to be factorable?

Back

An expression is factorable if it can be expressed as a product of two or more factors.

Front

Factor the expression: 25a² - 36b²

Back

(5a + 6b)(5a - 6b)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial.

Front

Factor the expression: 49x² - 1

Back

(7x + 1)(7x - 1)

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: 64m² - 81n²

Back

(8m + 9n)(8m - 9n)

Front

What is the significance of the Difference of Squares in algebra?

Back

It provides a quick method for factoring certain quadratic expressions.