Evaluate
x\left(65-x\right)
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65x-x^{2}
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1000-\left(40-x\right)\left(25-x\right)
Multiply 40 and 25 to get 1000.
1000-\left(1000-40x-25x+x^{2}\right)
Apply the distributive property by multiplying each term of 40-x by each term of 25-x.
1000-\left(1000-65x+x^{2}\right)
Combine -40x and -25x to get -65x.
1000-1000-\left(-65x\right)-x^{2}
To find the opposite of 1000-65x+x^{2}, find the opposite of each term.
1000-1000+65x-x^{2}
The opposite of -65x is 65x.
65x-x^{2}
Subtract 1000 from 1000 to get 0.
1000-\left(40-x\right)\left(25-x\right)
Multiply 40 and 25 to get 1000.
1000-\left(1000-40x-25x+x^{2}\right)
Apply the distributive property by multiplying each term of 40-x by each term of 25-x.
1000-\left(1000-65x+x^{2}\right)
Combine -40x and -25x to get -65x.
1000-1000-\left(-65x\right)-x^{2}
To find the opposite of 1000-65x+x^{2}, find the opposite of each term.
1000-1000+65x-x^{2}
The opposite of -65x is 65x.
65x-x^{2}
Subtract 1000 from 1000 to get 0.
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