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x\left(-x\right)+10x+10\left(-x\right)+100
Apply the distributive property by multiplying each term of x+10 by each term of -x+10.
x^{2}\left(-1\right)+10x+10\left(-1\right)x+100
Multiply x and x to get x^{2}.
x^{2}\left(-1\right)+10x-10x+100
Multiply 10 and -1 to get -10.
x^{2}\left(-1\right)+100
Combine 10x and -10x to get 0.
x\left(-x\right)+10x+10\left(-x\right)+100
Apply the distributive property by multiplying each term of x+10 by each term of -x+10.
x^{2}\left(-1\right)+10x+10\left(-1\right)x+100
Multiply x and x to get x^{2}.
x^{2}\left(-1\right)+10x-10x+100
Multiply 10 and -1 to get -10.
x^{2}\left(-1\right)+100
Combine 10x and -10x to get 0.