Answer:
[tex]\frac{(x+1 )^{2} }{x-4}[/tex]
Step-by-step explanation:
Step 1. Rewrite [tex]x^{2}[/tex] + 2x + 1 in the form [tex]a^{2}[/tex] + 2ab + [tex]b^{2}[/tex], where a = x and b = 1.
[tex]\frac{x^{2}+2(x)(1)+1^{2} }{x-4}[/tex]
Step 2. Use Square of Sum: [tex](a + b)^{2}[/tex] = [tex]a^{2}[/tex] + 2ab + [tex]b^{2}[/tex]
[tex]\frac{(x+1 )^{2} }{x-4}[/tex]
