Evaluate
\left(7-x\right)\left(x+17\right)
Expand
119-10x-x^{2}
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144-\left(x^{2}+10x+25\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
144-x^{2}-10x-25
To find the opposite of x^{2}+10x+25, find the opposite of each term.
119-x^{2}-10x
Subtract 25 from 144 to get 119.
144-\left(x^{2}+10x+25\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
144-x^{2}-10x-25
To find the opposite of x^{2}+10x+25, find the opposite of each term.
119-x^{2}-10x
Subtract 25 from 144 to get 119.
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