Respuesta :
Answer:
1/5 + 9/5 x^2
None of the listed choices
Step-by-step explanation:
4x^2 +36 1
------------- * ----------
4x 5x
Factor the numerator
4(x^2 +9) 1
------------- * ----------
4x 5x
Cancel the 4
(x^2 +9) 1
------------- * ----------
x 5x
Multiply
(x^2 +9)
-----------------------
5x^2
We can break this into terms
x^2 9
------ + -----------------
5x^2 5x^2
1/5 + 9/5 x^2
Answer:
Mark for review because there is no correct answer.
Step-by-step explanation:
The given expression is
[tex]\frac{4x^2+36}{4x}\times \frac{1}{5x}[/tex]
Factor the numerator
[tex]=\frac{4(x^2+9)}{4x}\times \frac{1}{5x}[/tex]
Cancel out the common factors
[tex]=\frac{x^2+9}{x}\times \frac{1}{5x}[/tex]
We simplify to get
[tex]=\frac{x^2+9}{5x^2}[/tex]