# math

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Maurice says that a(square)+ b(square)=(a+b)(a+b). Is this always true, never true, or sometimes true?

Explain.

• math -

It is true whenever a=0 or b=0 or both=0, because
(a+b)²=a²+2ab+b²
So when either or both of a and b is zero, the equality is true because the 2ab term disappears.

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