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y=\left(-x-3\right)\left(x-1\right)^{3}
To find the opposite of x+3, find the opposite of each term.
y=\left(-x-3\right)\left(x^{3}-3x^{2}+3x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
y=-x^{4}+6x^{2}-8x+3
Use the distributive property to multiply -x-3 by x^{3}-3x^{2}+3x-1 and combine like terms.