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 when you have a square term subtracted from another square term.

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: x² - 9

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(x + 3)(x - 3)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 49x² - 144y²

Back

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

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: x² - 16

Back

(x + 4)(x - 4)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 64x² - 81y²

Back

(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. For example, 1, 4, 9, 16, and 25 are perfect squares.

Tags

CCSS.6.EE.A.1

Front

What is the formula for factoring a² - b²?

Back

The formula is 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 two square terms. 2. Apply the formula a² - b² = (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

Front

Give an example of a difference of two squares.

Back

Example: 36 - x² can be factored as (6 + x)(6 - x).

Tags

CCSS.HSA.APR.C.4