Special Product Patterns Algebra 2

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7 Terms

1
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(a+b)(a-b)= a^2-b^2

Sum and Difference

2
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(a+b)^2= a^2+2ab+b^2

Adding Square of a Binomial

3
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(a-b)^2= a^2-2ab+b^2

Subtracting Square of a Binomial

4
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(a+b)^3= a^3+3a^2b+3ab^2+b^3

Adding Cube of a Binomial

5
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(a-b)^3=a^3-3a^2b+3ab^2-b^3

Subtracting Cube of a Binomial 

6
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a^3+b^3=(a+b)(a^2-ab+b^2)

Sum of Two Cubes

7
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a^3-b^3=(a-b)(a^2+ab+b^2)

Difference of Two Cubes