Algebraic identities Flashcards

1
Q

(x+y)^2

A

x^2+ 2xy + y^2

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2
Q

(x-y)^2

A

x^2 + y^2 -2xy

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3
Q

x^2- y^2

A

(x+y)(x-y)

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4
Q

(x+a)(x+b)

A

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

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5
Q

(x+y+z)^2

A

x^ 2+ y^2 + z^2 + 2 (xy + yz +xz)

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6
Q

x^3 + y^3 + z^3 - 3xyz

A

(x+y+z)(x^2+y^2+z^2-xy-yz-xz)

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7
Q

x^3 - y^3

A

(x-y)(x^2+ xy + y^2)

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8
Q

x^3 + y^3

A

(x+y)(x^2 -xy + y^2)

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9
Q

(x+y)^3

A

x^3 + y^3 + 3xy(x+y)

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10
Q

(x-y)^3

A

x^3-y^3-3xy(x-y)

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