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100-\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}.
100-x^{2}+10x-25
To find the opposite of x^{2}-10x+25, find the opposite of each term.
75-x^{2}+10x
Subtract 25 from 100 to get 75.
100-\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}.
100-x^{2}+10x-25
To find the opposite of x^{2}-10x+25, find the opposite of each term.
75-x^{2}+10x
Subtract 25 from 100 to get 75.