IB Mathematics Analysis and Approaches Question Type 11: Finding Coefficient of Term Using General Binomial Expansion Formula Exercises

Find the coefficient of $x^4$ in the expansion of $(1+x{)}^{\frac{5}{2}}$.

Find the constant term in the expansion of ${\left(x^2+\frac{1}{x^3}\right)}^{\frac{5}{2}}$.

Find the coefficient of $x^2$ in the expansion of $(1-x{)}^{-\frac{5}{2}}$.

Find the coefficient of $x^5$ in the expansion of $(1-2x{)}^7$.

Find the coefficient of $x^2$ in the expansion of $(3+2x{)}^{\frac{7}{3}}$.

Find the constant term in the expansion of ${\left(2x+\frac{1}{x}\right)}^6$.

Find the coefficient of $x^3$ in the expansion of $(1+x{)}^5$.

Find the coefficient of $x^2$ in the expansion of $(1+2x{)}^{-\frac{3}{2}}$.

Find the coefficient of $x^2$ in the expansion of $(x+3{)}^5$.

Find the coefficient of $x^4$ in the expansion of $(2+x{)}^6$.

Find the constant term in the expansion of $(x^2+\frac{1}{x}{)}^6$.

Find the coefficient of $x^2$ in the expansion of ${\left(3x-\frac{1}{x^2}\right)}^5$.