Evaluate
\left(8-x\right)\left(x+10\right)
Expand
80-2x-x^{2}
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81-\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
81-x^{2}-2x-1
To find the opposite of x^{2}+2x+1, find the opposite of each term.
80-x^{2}-2x
Subtract 1 from 81 to get 80.
81-\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
81-x^{2}-2x-1
To find the opposite of x^{2}+2x+1, find the opposite of each term.
80-x^{2}-2x
Subtract 1 from 81 to get 80.
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