Algebra Flashcards

1
Q

Multiplication of binomials, EWE (each with each)

A
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2
Q

Square of sum

A

(a + b)2 = a2 + 2ab + b2

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3
Q

Square of difference

A

(a – b)2 = a2 – 2ab + b2

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4
Q

Cube of sum

A

(a + b)3 = a3 + 3a2b + 3ab2 + b3

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5
Q

Cube of difference

A

(a – b)3 = a3 – 3a2b + 3ab2 – b3

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6
Q

Difference of squares

A

a2 – b2 = (a + b) (a – b)

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7
Q

Absolute value of |-a|

A

|a|

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8
Q

Absolute value of |ab|

A

|a| |b|

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9
Q

Absolute value of |a/b|

A

|a| / |b|

b ≠ 0

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10
Q
A
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11
Q

Distance between points a and b on a number line

A

|b – a| = |a – b|

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12
Q

am/n

A

n√am

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13
Q
A
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14
Q
A

(b ≠ 0)

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15
Q
A
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16
Q
A

Multiplication of binomials, EWE (each with each)

17
Q

(a + b)2 = a2 + 2ab + b2

A

Square of sum

18
Q

(a – b)2 = a2 – 2ab + b2

A

Square of difference

19
Q

(a + b)3 = a3 + 3a2b + 3ab2 + b3

A

Cube of sum

20
Q

(a – b)3 = a3 – 3a2b + 3ab2 – b3

A

Cube of difference

21
Q

a2 – b2 = (a + b) (a – b)

A

Difference of squares

22
Q

|a|

A

Absolute value of |-a|

23
Q

|a| |b|

A

Absolute value of |ab|

24
Q

|a| / |b|

b ≠ 0

A

Absolute value of |a/b|

25
Q
A
26
Q

|b – a| = |a – b|

A

Distance between points a and b on a number line

27
Q

n√am

A

am/n

28
Q
A
29
Q

(b ≠ 0)

A
30
Q
A
31
Q

Quadratic equation

A