Question

Find the h.c.f of {x}^{3} + {y}^{3} \: and \: \: {x}^{2} - xy + {y}^{2}x 3 +y 3 andx 2 −xy+y 2 ​

Answer 1

Factorize the sum of cubes:

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

so
`x^2-xy+y^2` is a factor of
`x^3+y^3`. Then the HCF is
`\boxed{x^2 - xy + y^2}`.