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Determine the coefficient of $x^3$ in the expansion of $(3 - x)(1 + 3x)^{\frac{1}{3}}$ when written in ascending powers of $x$.
Mathematics 9709 · AS & A Level · Algebra
Determine the coefficient of $x^3$ in the expansion of $(3 - x)(1 + 3x)^{\frac{1}{3}}$ when written in ascending powers of $x$.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give the unsimplified term in $x^2$, or its coefficient, appearing in the expansion of $(1+3x)^{1/3}$” …