Question 971089
Please simplify the rational expression:
((x^3) - (5*(x^2)) - (3*x) + 15) / (x^2 - (8*x) + 15)
:
{{{(x^3 - 5x^2 - 3x + 15)/(x^2 - 8x + 15)}}}
Group factor the numerator, factor the denominator
{{{(x^3 - 3x - 5x^2 + 15)/((x-5)(x-3))}}}
Factor out x, factor out -5
{{{(x(x^2 - 3)  - 5(x^2 - 3))/((x-5)(x-3))}}}
Factor out (x^2-3)
{{{((x^2-3)(x-5))/ ((x-5)(x-3))}}}
Cancel (x-5)
{{{(x^2-3)/(x-3)}}}