Review question

# How many pairs of positive integers $(x,y)$ satisfy this equation? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6543

## Suggestion

The number of pairs of positive integers $x$, $y$ which solve the equation $x^3 + 6x^2y + 12xy^2 + 8y^3 = 2^{30}$ is

1. $0$,

2. $2^6$,

3. $2^9-1$,

4. $2^{10}+2$.

Can we factorise the left hand side of the equation?