4.8a Factoring by 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: 4m² - 49

Back

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

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 4x² - 9

Back

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

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 4x² - 25

Back

(2x + 5)(2x - 5)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: q² - 121

Back

(q + 11)(q - 11)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: x² - 9

Back

(x + 3)(x - 3)

Tags

CCSS.HSA.APR.C.4

Front

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

Back

Identify the squares in the expression and rewrite it in the form a² - b².

Tags

CCSS.HSA.APR.C.4

Front

What are the conditions for an expression to be factored as a difference of squares?

Back

The expression must be in the form a² - b², where both a and b are perfect squares.

Tags

CCSS.HSA.APR.C.4

Front

What is a perfect square?

Back

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

Tags

CCSS.8.EE.A.2

Front

Provide an example of a difference of squares.

Back

Example: 9 - 16 = 3² - 4² = (3 + 4)(3 - 4) = 7(-1) = -7.