Question 31775
x^3-26x^2+48x

=x(48+-26x+x^2
x(2+1-1x)(24+-1x)


I'd have done it this way:  

x^3-26x^2+48x = x(x^2-26x+48) = x(x^2-24x-2x+48) -->This is called 'splitting the middle term' technique

Let's factorise the quadratic
x^2 - 24x - 2x + 48

x(x-24)-2(x-24)

(x-2)(x-24)

Let's join up the quadratic with the rest of the expression
x(x^2-26x+48) = x(x^2-24x-2x+48)=x(x-2)(x-24)