Factoring Difference of Squares

Front

What is the difference of squares formula?

Back

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

Tags

CCSS.HSA.APR.C.4

Front

Fully factor 25x² - 81.

Back

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

Tags

CCSS.HSA.APR.C.4

Front

Fully factor 4x² - 9.

Back

(2x - 3)(2x + 3)

Tags

CCSS.HSA.APR.C.4

Front

Fully factor 49n² - 25.

Back

(7n + 5)(7n - 5)

Tags

CCSS.HSA.APR.C.4

Front

Fully factor x² - 400.

Back

(x - 20)(x + 20)

Tags

CCSS.HSA.APR.C.4

Front

Which expression can be factored using the difference of squares? 144x² - 49y², x² + 4x - 12, 100x² + 20x + 1, 14x - 16

Back

144x² - 49y²

Tags

CCSS.HSA.APR.C.4

Front

What is a perfect square trinomial?

Back

An expression of the form a² + 2ab + b² = (a + b)² or a² - 2ab + b² = (a - b)².

Tags

CCSS.HSA.APR.C.4

Front

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

Back

Identify the two perfect squares in the expression.

Tags

CCSS.HSA.APR.C.4

Front

What does it mean for an expression to be factorable?

Back

It can be expressed as a product of two or more factors.

Front

Provide an example of a difference of squares.

Back

x² - 16 = (x - 4)(x + 4)

Tags

CCSS.HSA.APR.C.4