IB Mathematics Analysis and Approaches Question Type 7: Finding Corresponding Coefficients Using General Binomial Term Exercises

Find the coefficient of $x^8$ in the expansion of $(5x^2-2{)}^6$.

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

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

Find the coefficient of $x^6$ in the expansion of $(1+x{)}^{15}$.

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

Find the coefficient of $x^8$ in the expansion of $(3x^2+2x{)}^6$.

Find the coefficient of $x^4$ in $(1+x{)}^9$.

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

Find the coefficient of $x^4$ in the expansion of $(3x+1{)}^7$.

Find the coefficient of $x^7{y}^3$ in the expansion of $(x-2y{)}^{10}$.

Find the coefficient of $x^4$ in the expansion of $(1-2x{)}^8$.

Find the coefficient of $x^5$ in the expansion of $(2x-3{)}^8$.

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