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\left(2x^{2}+8x\right)\left(x+1\right)
Use the distributive property to multiply 2x by x+4.
2x^{3}+2x^{2}+8x^{2}+8x
Apply the distributive property by multiplying each term of 2x^{2}+8x by each term of x+1.
2x^{3}+10x^{2}+8x
Combine 2x^{2} and 8x^{2} to get 10x^{2}.
\left(2x^{2}+8x\right)\left(x+1\right)
Use the distributive property to multiply 2x by x+4.
2x^{3}+2x^{2}+8x^{2}+8x
Apply the distributive property by multiplying each term of 2x^{2}+8x by each term of x+1.
2x^{3}+10x^{2}+8x
Combine 2x^{2} and 8x^{2} to get 10x^{2}.