Question

the GCD or HCF of x^3 - y^3
and x^4 + x^2×y^2 + y^4
is
please give me the solution

Answer 1

Given Equation is x^3 - y^3.

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

Given Equation is x^4 + x^2y^2 + y^4

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

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

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


Therefore the HCF or GCD = (x^2 + xy + y^2).


Hope this helps!