Factoring 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: r² - 9.

Back

(r + 3)(r - 3)

Tags

CCSS.HSA.APR.C.4

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.

Front

Can the expression 4x² + 16 be factored using the difference of squares?

Back

No, because it is a sum, not a difference.

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: x² - 16.

Back

(x + 4)(x - 4)

Tags

CCSS.HSA.APR.C.4

Front

What is a perfect square?

Back

A number that can be expressed as the square of an integer.

Tags

CCSS.6.EE.A.1

Front

Factor the expression: 25y² - 36.

Back

(5y + 6)(5y - 6)

Tags

CCSS.HSA.APR.C.4

Front

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

Back

Identify the two perfect squares.

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 49x² - 1.

Back

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

Tags

CCSS.HSA.APR.C.4

Front

What is the result of factoring 0 using the difference of squares?

Back

0 cannot be factored using the difference of squares.

Tags

CCSS.HSA.APR.C.4