Question

(a+x) (a²-ax+x²) - (a-x) (a²+ax+x²) me ajudem como faz?

Answer 1

$(a+x) (a^2-ax+x^2) - (a-x) (a^2+ax+x^2)= \\ \\ a^3-a^2x+ax^2+a^2x-ax^2+x^3-(a^3+a^2x+ax^2-a^2x-ax^2-x^3) = \\ \\ a^3-a^2x+ax^2+a^2x-ax^2+x^3-a^3 -a^2x-ax^2+a^2x+ax^2+x^3= \boxed {2x^3}$

Answer 2

$(a+x)(a^2-ax+x^2)-(a-x)(a^2+ax+x^2)=\\(a^3-a^2x+ax^2+a^2x-ax^2+x^3)-(a^3+a^2x+ax^2-a^2x-ax^2-x^3)=>\\0$