Special Products/Factors

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15 Terms

1
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Special Products:

(a + b)(a - b) =

a2 - b2

2
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Special Products:

(x + a)(x + b) =

x2+ (a + b)x + ab

3
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Special Products:

(ax + b)(cx + d) =

acx² + (ad + bc)x + bd

4
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(a + b)³ =

a³ + 3a²b + 3ab² + b³

5
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Special Products:

(a + b + c)² =

a² + b² + c² + 2ab + 2ac + 2bc

6
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Special Products:

(a + b)² =

a² + 2ab + b²

7
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Special Products:

(a - b)² =

a² - 2ab + b²

8
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Special Products:

(a - b)(an-1 + an-2b + an-3b2 + … + abn-2 + bn-1)

an - bn

Where n is any positive integer (1,2,3.4,5…)

Note: n-1 is the largest exponent value

9
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(a + b)(an-1 - an-2b + an-3b2 - … - abn-2 + bn-1)

an + bn

Where n is any positive odd integer (1,3,5,7…)

Note: n-1 is the largest exponent value

10
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Special Products:

(a - b)³ =

a³ - 3a²b + 3ab² - b³

11
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Factored Form:

a2 - b2

(a + b)(a - b)

12
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Factored Form:

a2 + 2ab + b2

(a + b)2

13
New cards

Factored Form:

a2 - 2ab + b2

(a - b)2

14
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Factored Form:

x2 + (a + b)x + ab

(x + a)(x + b)

15
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Factored Form:

acx2 + (ad + bc)x + bd

(ax + b)(cx + d)