Factoring Difference of Squares

Front

What is the difference of squares?

Back

The difference of squares is a mathematical expression of the form a² - b², which can be factored into (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 25x² - 81

Back

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

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: x² - 16

Back

(x + 4)(x - 4)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 4m² - 49

Back

(2m + 7)(2m - 7)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 4x² - 16

Back

(2x - 4)(2x + 4)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Tags

CCSS.HSA.APR.C.4

Front

What is the formula for factoring the difference of squares?

Back

The formula is a² - b² = (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

Front

Identify a common mistake when factoring difference of squares.

Back

A common mistake is to incorrectly apply the formula or to forget that both terms must be perfect squares.

Tags

CCSS.HSA.APR.C.4

Front

What are perfect squares?

Back

Perfect squares are numbers that can be expressed as the square of an integer, such as 1, 4, 9, 16, 25, etc.

Tags

CCSS.8.EE.A.2

Front

Factor the expression: 9x² - 36

Back

(3x + 6)(3x - 6)

Tags

CCSS.HSA.APR.C.4