Respuesta :

wegnerkolmp2741o

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

kudzordzifrancis

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]

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