Answer:
[tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex] = [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]
Step-by-step explanation:
Step(i):-
Given expression
[tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]
= [tex]\frac{(x+3) }{(x^{2} +1)}[/tex]
Step(ii):-
= [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]