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\left(x^{2}-2x+3x-6\right)\left(5-2x\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-2.
\left(x^{2}+x-6\right)\left(5-2x\right)
Combine -2x and 3x to get x.
5x^{2}-2x^{3}+5x-2x^{2}-30+12x
Apply the distributive property by multiplying each term of x^{2}+x-6 by each term of 5-2x.
3x^{2}-2x^{3}+5x-30+12x
Combine 5x^{2} and -2x^{2} to get 3x^{2}.
3x^{2}-2x^{3}+17x-30
Combine 5x and 12x to get 17x.
\left(x^{2}-2x+3x-6\right)\left(5-2x\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-2.
\left(x^{2}+x-6\right)\left(5-2x\right)
Combine -2x and 3x to get x.
5x^{2}-2x^{3}+5x-2x^{2}-30+12x
Apply the distributive property by multiplying each term of x^{2}+x-6 by each term of 5-2x.
3x^{2}-2x^{3}+5x-30+12x
Combine 5x^{2} and -2x^{2} to get 3x^{2}.
3x^{2}-2x^{3}+17x-30
Combine 5x and 12x to get 17x.