Algebraic Techniques Flashcards

1
Q

Division Index Law

A

a^m/a^n = a^m-n

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2
Q

Multiplication Index Law

A

a^m x a^n = a^m+n

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3
Q

Power Index Law

A

(a^m)^n = a^mn

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4
Q

Expand -(3v - 5)

A

5v - 3v^2

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5
Q

Expand and Simplify (2a - 3b)(4c + 5d)

A

8ac + 10ad -12 bc - 15bd

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6
Q

Expand (a + b)^2

A

a^2 + 2ab + b^2

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7
Q

Expand (a - b)^2

A

a^2 - 2ab + b^2

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8
Q

Expand (a - b)(a + b)

A

a^2 - b^2

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9
Q

Factorise 12w - 16

A

4(3w - 4)

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10
Q

Factorise c^2 + 2c - 8

A

(c - 2)(c + 4)

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11
Q

Simplify 3/t-2 - 5/t+2

A

2(8 - t)/(t - 2)(t + 2)

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12
Q

Simplify √128

A

8√2

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