Evaluate
\left(a-6b\right)\left(b-a\right)
Expand
-a^{2}+7ab-6b^{2}
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5ab-5b^{2}-\left(b^{2}-2ba+a^{2}\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(b-a\right)^{2}.
5ab-5b^{2}-b^{2}+2ba-a^{2}
To find the opposite of b^{2}-2ba+a^{2}, find the opposite of each term.
5ab-6b^{2}+2ba-a^{2}
Combine -5b^{2} and -b^{2} to get -6b^{2}.
7ab-6b^{2}-a^{2}
Combine 5ab and 2ba to get 7ab.
5ab-5b^{2}-\left(b^{2}-2ba+a^{2}\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(b-a\right)^{2}.
5ab-5b^{2}-b^{2}+2ba-a^{2}
To find the opposite of b^{2}-2ba+a^{2}, find the opposite of each term.
5ab-6b^{2}+2ba-a^{2}
Combine -5b^{2} and -b^{2} to get -6b^{2}.
7ab-6b^{2}-a^{2}
Combine 5ab and 2ba to get 7ab.
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Limits
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