Formulas Flashcards

1
Q

(a+b)^2

A

a2+b2+2ab

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2
Q

(a-b)^2

A

a2+b2-2ab

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3
Q

(a+b)(a-b)

A

a2-b2

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4
Q

(a+1/a)^2

A

a2+1/a2 +2

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5
Q

(a-1/a)^2

A

a2+1/a2 -2

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6
Q

(a+1/a)(a-1/a)

A

a2 -1/a2

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7
Q

(x+a)(x+b)

A

X2 + (a+b)x + ab

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8
Q

(a+b+c)^2

A

a2 +b2+c2 + 2(ab+bc+ca)

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9
Q

(a+b)^3

A

a3+b3+3ab(a+b)

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10
Q

(A-b)^3

A

A3-b3-3ab(a-b)

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11
Q

A3+b3

A

(A+b)(a2+ab+b2)

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12
Q

A3-b3

A

(A-b)(a2+ab+b2)

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13
Q

(A+b+c)(a2+b2+c2-ab-bc-ca)

A

A3+b3+c3-3abc

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14
Q

(X+a)(x+b)(x+c)

A

X3+(a+b+c)x2+(ab+bc+ca)x+abc

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15
Q

If a+b+c=0 then

A

A3+b3+c3=3abc

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