Factor: Difference Of Squares

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What is the Difference of Squares?

Back

The Difference of Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies when you have a square term subtracted from another square term.

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CCSS.HSA.APR.C.4

Front

Factor: x² - 16

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(x + 4)(x - 4)

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CCSS.HSA.APR.C.4

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Factor: x² - 25

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(x + 5)(x - 5)

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CCSS.HSA.APR.C.4

Front

Factor: 4x² - 16

Back

4(x - 2)(x + 2)

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CCSS.HSA.APR.C.4

Front

Factor: 4a² - 25

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(2a + 5)(2a - 5)

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CCSS.HSA.APR.C.4

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Factor: 3x² - 75

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3(x + 5)(x - 5)

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CCSS.HSA.APR.C.4

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Factor: x² - 9

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(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 two square terms and rewrite the expression in the form a² - b².

Tags

CCSS.HSA.APR.C.4

Front

Can the expression 2x² - 8 be factored using the Difference of Squares?

Back

No, it can be factored as 2(x² - 4), which is a Difference of Squares, but it is not in the form a² - b² directly.

Tags

CCSS.HSA.APR.C.4

Front

What is the general form of a Difference of Squares?

Back

a² - b² = (a + b)(a - b)

Tags

CCSS.HSA.APR.C.4