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8x^{2}-12x+2x-3+6x+2
Apply the distributive property by multiplying each term of 4x+1 by each term of 2x-3.
8x^{2}-10x-3+6x+2
Combine -12x and 2x to get -10x.
8x^{2}-4x-3+2
Combine -10x and 6x to get -4x.
8x^{2}-4x-1
Add -3 and 2 to get -1.
8x^{2}-12x+2x-3+6x+2
Apply the distributive property by multiplying each term of 4x+1 by each term of 2x-3.
8x^{2}-10x-3+6x+2
Combine -12x and 2x to get -10x.
8x^{2}-4x-3+2
Combine -10x and 6x to get -4x.
8x^{2}-4x-1
Add -3 and 2 to get -1.