Question

Решите уравнение (x+1)(x^2 -x+1)-x(x+3)(x-3)= 10

Answer 1

x^3+y^3=(x+y)(x^2-xy+y^2)
x^2-y^2=(x-y)(x+y)
(x+1)(x^2 -x+1)-x(x+3)(x-3)= 10
x^3 + 1 - x(x^2-9) = 10
x^3 +1 - x^3 + 9x = 10
9x=9
x=1