(a+b)(a-b)=a²-b² 公式
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Objective
我可以使用 (a+b)(a-b)=a²-b² 公式来简化代数表达式。
Part 1 of 4
Warm-up video
Mometrix Academy · 4:34Vetted channel
We don't generate video — this one is by Mometrix Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 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).
Part 3 of 4
Practice
10 questions
以下哪个表达式是两个平方差？
使用公式 (a+b)(a-b)=a²-b² 化简表达式 (x+5)(x-5)。
Part 4 of 4
Exit ticket
Quick comprehension check
“使用公式 (a+b)(a-b)=a²-b² 来简化表达式：9x² - 25”
Sample answer included in the free materials
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