Simpiflying Exponential Expressions 
Note that  $x = 5$
$$\frac {x^{x+3}+ x^{x+2}}{x^{x+1}+x^{x+2}} = ?$$

This is what I'm struggling with. There's my attempt as seen below.
$$\frac {x^x.x^3+x^x.x^2}{x^x . x + x^x .x^2}$$
Factoring $x^x$ and we get
$$\frac {x^x (x^3 + x^2)}{x^x(x . x^2)} = \frac {x^3}{x} = x^2 = (5)^2 = 25$$
According to my textbook, I've found wrong answer. Correct answer seems $5$, why?

write $$\frac{x^{x+2}(1+x^{x+3-x-2})}{x^{x+1}(1+x^{x+2-x-1})}$$
can you finish?
