Ch 2:Algebraic Identities Flashcards

1
Q

(x+y)²

A

= (x)² + (y)² + 2(x)(y)

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2
Q

(x-y)²

A

= (x)² + ( y)² - 2(x)(y)

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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

= x² + x(a+b) + ab

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5
Q

(x+y+z)²

A

= x² + y² + z² + 2xy + 2yz + 2zx

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6
Q

(x+y)³

A

= x³ + y³ + 3xy(x+y)

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7
Q

(x-y)³

A

= x³ + y³ - 3xy(x-y)

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8
Q

x³ + y³

A

= (x+y)(x² + y² - xy)

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9
Q

x³ - y³

A

(x-y)(x² + y² + xy)

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10
Q

x³ + y³ + z³ - 3xyz

A

= (x+y+z) (x² + y² + z² - xy - yz -zx)

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