×
Back to all chapters

# Binomial Theorem

If a coin comes up heads you win $10, but if it comes up tails you win$0. How likely are you to win exactly \$30 in five flips?

# Binomial Theorem - Expansions

What is the sum of the coefficients of the terms in $$(x-3)^4$$ when expanded?

For what value of $$n \geq 24$$ are the coefficients of $$x^{14}$$ and $$x^{24}$$ equal in the expansion of $$(1+x)^{n}$$?

Expand $(x+1)(x^2-y)^{18}$ and determine the absolute value of the coefficient of $$x^{31}y^3$$.

What is the coefficient of the $$x^3$$ term in the expansion of $$\left((x+1)^ 2\right)^ {5}$$?

The coefficient of $$x^{9}y^3$$ in the expansion of $$(x+ay)^{12}$$ is $$27500$$. What is the value of $$a$$?

×