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\left(20x^{2}+10x-4x-2\right)\left(10x+6\right)
Apply the distributive property by multiplying each term of -5x+1 by each term of -4x-2.
\left(20x^{2}+6x-2\right)\left(10x+6\right)
Combine 10x and -4x to get 6x.
200x^{3}+120x^{2}+60x^{2}+36x-20x-12
Apply the distributive property by multiplying each term of 20x^{2}+6x-2 by each term of 10x+6.
200x^{3}+180x^{2}+36x-20x-12
Combine 120x^{2} and 60x^{2} to get 180x^{2}.
200x^{3}+180x^{2}+16x-12
Combine 36x and -20x to get 16x.
\left(20x^{2}+10x-4x-2\right)\left(10x+6\right)
Apply the distributive property by multiplying each term of -5x+1 by each term of -4x-2.
\left(20x^{2}+6x-2\right)\left(10x+6\right)
Combine 10x and -4x to get 6x.
200x^{3}+120x^{2}+60x^{2}+36x-20x-12
Apply the distributive property by multiplying each term of 20x^{2}+6x-2 by each term of 10x+6.
200x^{3}+180x^{2}+36x-20x-12
Combine 120x^{2} and 60x^{2} to get 180x^{2}.
200x^{3}+180x^{2}+16x-12
Combine 36x and -20x to get 16x.