Evaluate
\left(z+10\right)^{2}
Expand
z^{2}+20z+100
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\left(-z\right)^{2}-20\left(-z\right)+100
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(-z-10\right)^{2}.
z^{2}-20\left(-z\right)+100
Calculate -z to the power of 2 and get z^{2}.
z^{2}+20z+100
Multiply -20 and -1 to get 20.
\left(-z\right)^{2}-20\left(-z\right)+100
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(-z-10\right)^{2}.
z^{2}-20\left(-z\right)+100
Calculate -z to the power of 2 and get z^{2}.
z^{2}+20z+100
Multiply -20 and -1 to get 20.
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