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x^{4}\left(1+3x+3x^{2}+x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+x\right)^{3}.
x^{4}+3x^{5}+3x^{6}+x^{7}
Use the distributive property to multiply x^{4} by 1+3x+3x^{2}+x^{3}.
x^{4}\left(1+3x+3x^{2}+x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+x\right)^{3}.
x^{4}+3x^{5}+3x^{6}+x^{7}
Use the distributive property to multiply x^{4} by 1+3x+3x^{2}+x^{3}.