Question

Of x³+y³+z³-3xy is divided by x+y+z find quotient

Answer 1

x^3+y^3+z^3-3xy can be also written as (x+y+z)(x^2+y^2+z^2-xy-yz-zx)

so, by dividing it by x+y+z we get

(x+y+z)(x^2+y^2+z^2-xy-yz-zx)/(x+y+z)

=>x^2+y^2+z^2-xy-yz-zx

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