Difference of Squares

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 81 - 25w².

Back

(9 - 5w)(9 + 5w)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 81 - 400q².

Back

(9 - 20q)(9 + 20q)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 9c² - 100.

Back

(3c - 10)(3c + 10)

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

Factor the expression: x⁴ - 81.

Back

(x² + 9)(x² - 9)

Tags

CCSS.HSA.APR.C.4

Front

What does it mean for an expression to be a perfect square?

Back

An expression is a perfect square if it can be expressed as the square of a binomial.

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 16 - y².

Back

(4 - y)(4 + y)

Tags

CCSS.HSA.APR.C.4

Front

What is the significance of the difference of squares in algebra?

Back

It allows for the simplification of expressions and solving equations.

Tags

CCSS.6.EE.A.2C

Front

Factor the expression: 49x² - 1.

Back

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

Tags

CCSS.HSA.APR.C.4