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3x^{2}+x+\left(x-2\right)\left(x-10\right)
Use the distributive property to multiply x by 3x+1.
3x^{2}+x+x^{2}-10x-2x+20
Apply the distributive property by multiplying each term of x-2 by each term of x-10.
3x^{2}+x+x^{2}-12x+20
Combine -10x and -2x to get -12x.
4x^{2}+x-12x+20
Combine 3x^{2} and x^{2} to get 4x^{2}.
4x^{2}-11x+20
Combine x and -12x to get -11x.
3x^{2}+x+\left(x-2\right)\left(x-10\right)
Use the distributive property to multiply x by 3x+1.
3x^{2}+x+x^{2}-10x-2x+20
Apply the distributive property by multiplying each term of x-2 by each term of x-10.
3x^{2}+x+x^{2}-12x+20
Combine -10x and -2x to get -12x.
4x^{2}+x-12x+20
Combine 3x^{2} and x^{2} to get 4x^{2}.
4x^{2}-11x+20
Combine x and -12x to get -11x.