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\left(17x+1\right)\left(10x-7x+1\right)
Combine 10x and 7x to get 17x.
\left(17x+1\right)\left(3x+1\right)
Combine 10x and -7x to get 3x.
51x^{2}+17x+3x+1
Apply the distributive property by multiplying each term of 17x+1 by each term of 3x+1.
51x^{2}+20x+1
Combine 17x and 3x to get 20x.
\left(17x+1\right)\left(10x-7x+1\right)
Combine 10x and 7x to get 17x.
\left(17x+1\right)\left(3x+1\right)
Combine 10x and -7x to get 3x.
51x^{2}+17x+3x+1
Apply the distributive property by multiplying each term of 17x+1 by each term of 3x+1.
51x^{2}+20x+1
Combine 17x and 3x to get 20x.