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\left(-a-\left(-b\right)\right)\left(a+b\right)
To find the opposite of a-b, find the opposite of each term.
\left(-a+b\right)\left(a+b\right)
The opposite of -b is b.
-a^{2}-ab+ba+b^{2}
Apply the distributive property by multiplying each term of -a+b by each term of a+b.
-a^{2}+b^{2}
Combine -ab and ba to get 0.
\left(-a-\left(-b\right)\right)\left(a+b\right)
To find the opposite of a-b, find the opposite of each term.
\left(-a+b\right)\left(a+b\right)
The opposite of -b is b.
-a^{2}-ab+ba+b^{2}
Apply the distributive property by multiplying each term of -a+b by each term of a+b.
-a^{2}+b^{2}
Combine -ab and ba to get 0.