Question 425770
{{{27r^2-12s^2}}}
When factoring, always start with the Greatest Common Factor (GCF) unless it is a 1. In this case the GCF is 3:
{{{3(9r^2-4s^2)}}}
Now we look to other factoring techniques. In this case, the {{{9r^2-4s^2}}} is a difference of squares so we can use the {{{a^2-b^2 = (a+b)(a-b)}}} pattern to factor it:
{{{3(3r+2s)(3r-2s)}}}
None of the remaining factors will factor further so we are finished.