Question

How do you factor `x^3y^3+2^3`?

Answer 1

`(xy+2)(x^2y^2-2xy+4)`

Explanation:

`"this is a "color(blue)"sum of cubes"`

`"and factorises in general as"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(a^3+b^3=(a+b)(a^2-ab+b^2))color(white)(2/2)|)))`

`x^3y^3+2^3toa=xy,b=2`

`rArrx^3y^3+2^3=(xy+2)(x^2y^2-2xy+4)`