(a+b)(a-b)=a²-b² 公式

(a+b)(a-b)=a²-b² 公式

Grade 12th Grade · Math · 45 min· 记住该公示内容,能用平方差公式进行简便运算,会判断什么时候能用平方差公式

What's Included

Learning Objective

我可以使用 (a+b)(a-b)=a²-b² 公式来简化代数表达式。

Warm-Up Video

Mometrix Academy · 4:34

Factoring the Difference of Squares

Guided Notes

3 key concepts

  • 1

    The difference of two squares pattern is a² - b² which factors to (a + b)(a - b).

  • 2

    To factor a difference of squares, take the square root of both terms and write them as a sum and a difference: (a + b)(a - b).

  • 3

    When factoring 4y² - 16, the square root of 4y² is 2y and the square root of 16 is 4, so the factored form is (2y + 4)(2y - 4).

Practice Questions

10 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

使用公式 (a+b)(a-b)=a²-b² 来简化表达式:9x² - 25

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher Guide
Student Doc
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