Question 252301
This is a difference of squares: 
{{{(5x^2 + 14x + 13)^2 - 16(x^2 + x - 2)^2}}}
the tricky part is to notice that 16 = 4^2. So the second term is really 4^2(X^2+x-2)^2

{{{((5x^2 + 14x + 13) - 4(x^2 + x - 2))((5x^2 + 14x + 13) + 4(x^2 + x - 2))}}}

combine like terms within each large [stuff]

{{{(1x^2+10X+21)(9X^2+18X+5)}}}

continue factoring

{{{(X+3)(X+7)(3X+5)(3X+1)}}}