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 $x^7y^3$ 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 $(x + \frac{2}{x})^6$.