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-a^{2}
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-a^{2}
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a^{2}-b^{2}-2a^{2}+b^{2}
Consider \left(a-b\right)\left(a+b\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
-a^{2}-b^{2}+b^{2}
Combine a^{2} and -2a^{2} to get -a^{2}.
-a^{2}
Combine -b^{2} and b^{2} to get 0.
a^{2}-b^{2}-2a^{2}+b^{2}
Consider \left(a-b\right)\left(a+b\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
-a^{2}-b^{2}+b^{2}
Combine a^{2} and -2a^{2} to get -a^{2}.
-a^{2}
Combine -b^{2} and b^{2} to get 0.
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