Algebraic Identities Flashcards

1
Q

Front

A

Back

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2
Q

a^2 - b^2

A

(a - b)(a + b)

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3
Q

(a + b)^2

A

a^2 + 2ab + b^2

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4
Q

a^2 + b^2

A

(a + b)^2 - 2ab

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5
Q

(a - b)^2

A

a^2 - 2ab + b^2

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6
Q

(a + b + c)^2

A

a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

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7
Q

(a - b - c)^2

A

a^2 + b^2 + c^2 - 2ab + 2bc - 2ca

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8
Q

(a + b)^3

A

a^3 + 3a^2b + 3ab^2 + b^3

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9
Q

(a - b)^3

A

a^3 - 3a^2b + 3ab^2 - b^3

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10
Q

a^3 - b^3

A

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

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11
Q

a^3 + b^3

A

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

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12
Q

(a + b)^4

A

a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4

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13
Q

(a - b)^4

A

a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4

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14
Q

a^4 - b^4

A

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

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15
Q

a^5 - b^5

A

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

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