polynomial identities for factories

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Last updated 6:41 PM on 1/30/25
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8 Terms

1
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a² - b² = (a + b)(a - b)

difference of 2 squares

2
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a² + b² = (a + bi)(a - bi)

sum of two squares

3
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a² + 2ab + b² = (a + b)²

perfect square trinomial

4
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a² - 2ab + b² = (a - b)²

perfect square trinomial

5
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a³ + 3a²b + 3ab² + b³ = (a + b)³

binomial cubed

6
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a³ - 3a²b + 3ab² - b³ = (a - b)³

binomial cubed

7
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a³ - b³ = (a - b)(a² + ab + b²)

difference of 2 cubes

8
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a³ + b³ = (a + b)(a² - ab + b²)

sum of two cubes

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