Question

factorise 
x^3-10x+27x^3/3

Answer 1

x^3-10x+9x^3=0
10x^3+0x^2-10x=0
10x^3+10x^2-10x^2-10x=0
10x^2(x+1) -10x(x+1)=0
(x+1)(10x^2-10x)=0
x+1=0       10x(x-1)=0
x=-1             10x=0       x-1=0
                       x=0      x=1
x=1,0 and -1

Answer 2

$x^{3}-10x+9x^3=10x^3-10x=10x( x^{2} -1)=10x(x+1)(x-1)$