Question 29250
Simplify:
1)
{{{(3a^2+15a)/(a^3-25a)}}} Factor 3a from the top and an a from the bottom.
{{{3a(a+5)/a(a^2-25)}}} Cancel the a's, then factor the bottom.
{{{3(a+5)/(a+5)(a-5)}}} Cancel the common factor (a+5).
{{{3/(a-5)}}}

2)
{{{(2x^2-14x)/(x^2-10x+21)}}} Factor 2x from the top and factor the bottom.
{{{2x(x-7)/(x-3)(x-7)}}} Cancel the common factor (x-7).
{{{2x/(x-3)}}}

3)
{{{(1-3x)/(3x^2+14x-5)}}} Factor -1 from the top and factor the bottom.
{{{(-(3x-1))/(3x-1)(x+5)}}} Cancel the common factor (3x-1).
{{{-1/(x+5)}}}