Evaluate
\left(A+1\right)^{3}-7A
Expand
A^{3}+3A^{2}-4A+1
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A^{3}+3A^{2}+3A+1-7A
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(A+1\right)^{3}.
A^{3}+3A^{2}-4A+1
Combine 3A and -7A to get -4A.
A^{3}+3A^{2}+3A+1-7A
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(A+1\right)^{3}.
A^{3}+3A^{2}-4A+1
Combine 3A and -7A to get -4A.
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