Question

Thực hiện phép tính

(x²ⁿ+xⁿyⁿ+y²ⁿ)(xⁿ-yⁿ)(x³ⁿ+y³ⁿ)

Answer 1

\(\left(x^{2n}+x^ny^n+y^{2n}\right)\left(x^n-y^n\right)\left(x^{3n}+y^{3n}\right)\\ =\left[\left(x^n\right)^2+x^ny^n+\left(y^n\right)^2\right]\left(x^n-y^n\right)\left(x^{3n}+y^{3n}\right)\\ =\left(x^{3n}-y^{3n}\right)\left(x^{3n}+y^{3n}\right)=x^{6n}-y^{6n}\)