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5x^{2}-25x-3x\left(-x+1\right)
Use the distributive property to multiply 5x by x-5.
5x^{2}-25x+3x^{2}-3x
Use the distributive property to multiply -3x by -x+1.
8x^{2}-25x-3x
Combine 5x^{2} and 3x^{2} to get 8x^{2}.
8x^{2}-28x
Combine -25x and -3x to get -28x.
5x^{2}-25x-3x\left(-x+1\right)
Use the distributive property to multiply 5x by x-5.
5x^{2}-25x+3x^{2}-3x
Use the distributive property to multiply -3x by -x+1.
8x^{2}-25x-3x
Combine 5x^{2} and 3x^{2} to get 8x^{2}.
8x^{2}-28x
Combine -25x and -3x to get -28x.