Question 212823
{{{24(x - 3)(6x + 7)^2 + 15(x - 3)^2(6x + 7)}}}
When factoring, always start with the Greatest Common Factor (GCF). In this case you have a GCF (highlighted):
{{{highlight(3)*8*highlight((x - 3))*highlight((6x + 7))^2 + highlight(3)*5*highlight((x - 3))^2*highlight((6x + 7))}}}
Factoring out the GCF we get:
{{{3(x - 3)(6x + 7)*(8*(6x+7) + 5*(x - 3))}}}
Now we simplify the factor on the right:
{{{3(x - 3)(6x + 7)*(48x + 56 + 5x -15)}}}
{{{3(x - 3)(6x + 7)*(53x + 41)}}}
None of these factors will factor further so we are finished.