properties for simplifying algebraic expressions

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9 Terms

1
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a-b = a+(-b)

Definition of subtraction

Add the opposite

2
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a÷b = a×1/b

Definition of division

Multiply by reciprocal

3
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a(b-c) = ab-ac

Distributive property for subtraction

4
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0×a = 0

Multiplication by 0

5
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-1×a = -a

Multiplication by -1

6
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-(a+b) = -a-b

Opposite of a sum

7
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-(a-b) = -a+b

Opposite of a difference

8
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-(ab) = -ab

Opposite of a product

9
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-(-a) = a

Opposite of an opposite