Split : $\displaystyle \frac{1}{(x+1)(x+2)}$ into partial fractions and hence expand the expression in power series in x up to to the term in $\displaystyle x^3$ What is the term in $\displaystyle x^5$?

The expression in partial fractions is $\displaystyle \frac{1}{x+1}-\frac{1}{x+2}$ However, I don't know how to expand it in power series.