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\left(-a-\left(-6b\right)\right)\left(a-b\right)
To find the opposite of a-6b, find the opposite of each term.
\left(-a+6b\right)\left(a-b\right)
The opposite of -6b is 6b.
-a^{2}+ab+6ba-6b^{2}
Apply the distributive property by multiplying each term of -a+6b by each term of a-b.
-a^{2}+7ab-6b^{2}
Combine ab and 6ba to get 7ab.
\left(-a-\left(-6b\right)\right)\left(a-b\right)
To find the opposite of a-6b, find the opposite of each term.
\left(-a+6b\right)\left(a-b\right)
The opposite of -6b is 6b.
-a^{2}+ab+6ba-6b^{2}
Apply the distributive property by multiplying each term of -a+6b by each term of a-b.
-a^{2}+7ab-6b^{2}
Combine ab and 6ba to get 7ab.