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How to prove -(a+b) = (-a)+ (-b)
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(Level 1) Associate Educator, Expert
First of all, note that `-(a+b)` is equivalent to `-1*(a +b)` .
By the distributive property of multiplication, we have:
`(-1*a) + (-1*b)`
which can be simplified/written as:
`(-a) + (-b)` which is our desired expression.
`-(a+b) = -a - b = -a + (-b) = (-a) + (-b)` again, the desired expression.
Posted by mvcdc on July 12, 2013 at 10:16 AM (Answer #1)
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