Solve step by step please

Hope this helps u out

Step by step: x^2-16/x^2-5x+4

1. Rewrite x^2 -16 in form a^2 - b^2, where a = x and b = 4.
x^2-4^2/x^2-5x+4

2. Use Difference of squares: a^2-b^2=(a+b)(a-b).
(x+4)(x-4)/x^2-5x+4

3. Factor x^2-5x+4.

1. Ask: Which two numbers add up to -5 and multiply to 4?
-4 and -1

2. Rewrite the expression using the above .
(x-4)(x-1)

(x+4)(x-4)/(x-4)(x-1)

4. Cancel x-4.
x+4/x-1

So therefore ur answer is:
x + 4 / x - 1