Question 294481
{{{((5x^2+21x+4)/(x^2-16)) / ((5x+1)/(x-2))}}}
This all reduces to (x-2)/(x-4)
First division is the same as multiplication by the reciprocal
{{{(5x^2+21x+4)/(x^2-16) *(x-2)/ (5x+1)}}}
Next factor (x^2-16)=(x-4)(x+4)
Factor 5x^2+21x+4 = (5x+1)*(x+4)
Cancel out (5x+1) and (x+4)
and we have (x-2)/(x-4)