Question Type 11: Finding coefficient of term using general binomial expansion formula Bootcamps

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

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

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

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

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

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

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

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

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 $(1 - x)^{-\frac{5}{2}}$.

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

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