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\left(2x^{2}+2x\right)\left(x-3\right)
Use the distributive property to multiply 2x by x+1.
2x^{3}-6x^{2}+2x^{2}-6x
Apply the distributive property by multiplying each term of 2x^{2}+2x by each term of x-3.
2x^{3}-4x^{2}-6x
Combine -6x^{2} and 2x^{2} to get -4x^{2}.
\left(2x^{2}+2x\right)\left(x-3\right)
Use the distributive property to multiply 2x by x+1.
2x^{3}-6x^{2}+2x^{2}-6x
Apply the distributive property by multiplying each term of 2x^{2}+2x by each term of x-3.
2x^{3}-4x^{2}-6x
Combine -6x^{2} and 2x^{2} to get -4x^{2}.