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Maths question help

(A^2)+(B^2)<(A+B)^2

B) Specify the conditions on a and b that make this inequality true.

The answer in the book is when both a and b are greater than 0.
However, I think it is when both are positive or when both are negative. Can someone tell me if Im wrong (i.e. Provide a counter example)?
(edited 6 years ago)
(-2)^2 + (-3)^2 = 4+9 = 13
(-2-3)^2 =(-5)^2 =25
13<25

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