Evaluate
-\left(x-100\right)\left(x+50\right)
Expand
5000+50x-x^{2}
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\left(-x-50\right)\left(x-100\right)
To find the opposite of x+50, find the opposite of each term.
-x^{2}+100x-50x+5000
Apply the distributive property by multiplying each term of -x-50 by each term of x-100.
-x^{2}+50x+5000
Combine 100x and -50x to get 50x.
\left(-x-50\right)\left(x-100\right)
To find the opposite of x+50, find the opposite of each term.
-x^{2}+100x-50x+5000
Apply the distributive property by multiplying each term of -x-50 by each term of x-100.
-x^{2}+50x+5000
Combine 100x and -50x to get 50x.
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