Difference of Two Squares Practice

Front

What is the difference of two squares?

Back

The difference of two squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies to any two squares.

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: x² - 9

Back

(x + 3)(x - 3)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 4x² - 16

Back

4(x + 2)(x - 2)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 169x²y⁶ - 196w⁴z⁸

Back

(13xy³ + 14w²z⁴)(13xy³ - 14w²z⁴)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 25x² - 36y²

Back

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

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 121x²y⁶z⁸ - 225w⁴

Back

(11xy³z⁴ + 15w²)(11xy³z⁴ - 15w²)

Tags

CCSS.HSA.APR.C.4

Front

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

Back

Identify the two squares in the expression and apply the formula a² - b² = (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

Front

Can the difference of two squares be applied to expressions with variables?

Back

Yes, the difference of two squares can be applied to expressions with variables as long as they can be expressed as squares.

Front

What is an example of a difference of two squares with coefficients?

Back

Example: 9x² - 25 = (3x + 5)(3x - 5) because 9x² = (3x)² and 25 = 5².

Tags

CCSS.HSA.APR.C.4

Front

What is the general form of a difference of two squares?

Back

The general form is a² - b², where a and b can be any real numbers or expressions.

Tags

CCSS.HSA.APR.C.4