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\left(2x^{4}+4x^{3}\right)\left(x-1\right)
Use the distributive property to multiply 2x^{2} by x^{2}+2x.
2x^{5}+2x^{4}-4x^{3}
Use the distributive property to multiply 2x^{4}+4x^{3} by x-1 and combine like terms.
\left(2x^{4}+4x^{3}\right)\left(x-1\right)
Use the distributive property to multiply 2x^{2} by x^{2}+2x.
2x^{5}+2x^{4}-4x^{3}
Use the distributive property to multiply 2x^{4}+4x^{3} by x-1 and combine like terms.