Review question

# Can we factorise $(x+y)^6 - (x-y)^6$ completely? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9404

## Suggestion

Factorise completely $\begin{equation*} (x+y)^6 - (x-y)^6. \end{equation*}$

Can we factorise simpler things? $6=2\times3$, so how about thinking about $a^2-b^2$? Or $a^3 - b^3$? Or even $a^3 + b^3$?

Or else we might wonder if, while it’s usually a bad idea, it’s worth trying to expand…