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15x^{2}-25x-15x+25+\left(-5x+5\right)\left(x-2\right)
Apply the distributive property by multiplying each term of -5x+5 by each term of -3x+5.
15x^{2}-40x+25+\left(-5x+5\right)\left(x-2\right)
Combine -25x and -15x to get -40x.
15x^{2}-40x+25-5x^{2}+10x+5x-10
Apply the distributive property by multiplying each term of -5x+5 by each term of x-2.
15x^{2}-40x+25-5x^{2}+15x-10
Combine 10x and 5x to get 15x.
10x^{2}-40x+25+15x-10
Combine 15x^{2} and -5x^{2} to get 10x^{2}.
10x^{2}-25x+25-10
Combine -40x and 15x to get -25x.
10x^{2}-25x+15
Subtract 10 from 25 to get 15.
15x^{2}-25x-15x+25+\left(-5x+5\right)\left(x-2\right)
Apply the distributive property by multiplying each term of -5x+5 by each term of -3x+5.
15x^{2}-40x+25+\left(-5x+5\right)\left(x-2\right)
Combine -25x and -15x to get -40x.
15x^{2}-40x+25-5x^{2}+10x+5x-10
Apply the distributive property by multiplying each term of -5x+5 by each term of x-2.
15x^{2}-40x+25-5x^{2}+15x-10
Combine 10x and 5x to get 15x.
10x^{2}-40x+25+15x-10
Combine 15x^{2} and -5x^{2} to get 10x^{2}.
10x^{2}-25x+25-10
Combine -40x and 15x to get -25x.
10x^{2}-25x+15
Subtract 10 from 25 to get 15.