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Is my Math Textbook wrong on this Integer Problem or is it just me?

Can you guys help me with this problem with a little explanation on how you came to solve it and I will share the answer that was provided in the book. Thanks in Advance

Attachment 23575

Re: Is my Math Textbook wrong on this Integer Problem or is it just me?

note ... $\displaystyle -2^2 = -1 \cdot 2^2 = -1 \cdot 4 = -4$,

and ... $\displaystyle (-2)^2 = (-1 \cdot 2)^2 = (-1)^2 \cdot 2^2 = 1 \cdot 4 = 4$

therefore ...

$\displaystyle -2^2 - (-2)^2 = -4 - 4 = -8$

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Re: Is my Math Textbook wrong on this Integer Problem or is it just me?

Attachment 23586

You got the same answer as the book. I see where I went wrong thank you for answering my question. I thought -2^2 was the same as (-2)^2

How I did it the first time:

-2^2-(-2)^2=

=-2^2-4

=4-4

= 0