Review question

# What is this algebraic fraction if its expansion has no $x$ term? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6601

## Question

In the expansion of $\frac{1+3x}{(1+ax)^2}$ in ascending powers of $x$, the coefficient of $x$ is zero. Find the value of the constant $a$, and, when $a$ has this value, obtain the expansion up to and including the term in $x^3$.