Difference of Two Squares

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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 x² - 9

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(x + 3)(x - 3)

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CCSS.HSA.APR.C.4

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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 - 144

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(x + 12)(x - 12)

Tags

CCSS.HSA.APR.C.4

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Factor 49x² - 144y²

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(7x + 12y)(7x - 12y)

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CCSS.HSA.APR.C.4

Front

Factor 64x² - 81y²

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(8x + 9y)(8x - 9y)

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.

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CCSS.8.EE.A.2

Front

What is the formula for factoring the Difference of Two Squares?

Back

a² - b² = (a + b)(a - b)

Tags

CCSS.HSA.APR.C.4

Front

What are the steps to factor a Difference of Two Squares?

Back

1. Identify the squares. 2. Apply the formula a² - b² = (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

Front

What is the result of (x + 5)(x - 5)?

Back

x² - 25 (This is an example of the Difference of Two Squares.)

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CCSS.HSA.APR.A.1