Factor 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: x² - 144

Back

(x + 12)(x - 12)

Tags

CCSS.HSA.APR.C.4

Front

Is x² + 81 factorable?

Back

Unfactorable

Tags

CCSS.HSA.APR.C.4

Front

Factor the polynomial: 121r² - 64t²

Back

(11r + 8t)(11r - 8t)

Tags

CCSS.HSA.APR.C.4

Front

Can 16x² + 25 be factored?

Back

Unfactorable

Tags

CCSS.HSA.APR.C.4

Front

What is the first step in factoring 4x² - 16?

Back

Take out the greatest common factor (GCF), which is 4.

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

What is the formula for factoring the difference of squares?

Back

a² - b² = (a + b)(a - b)

Tags

CCSS.HSA.APR.C.4

Front

Provide an example of a difference of squares.

Back

x² - 9 = (x + 3)(x - 3)

Tags

CCSS.HSA.APR.C.4

Front

What does it mean for a polynomial to be unfactorable?

Back

A polynomial is unfactorable if it cannot be expressed as a product of simpler polynomials with real coefficients.