Respuesta :

Answer:

[tex]\frac{3x^{2}}{2} +2[/tex]

Step-by-step explanation:

we have

[tex]\frac{9x^{2}+12}{6}[/tex]

Factor the number 3 in the numerator and denominator

[tex]\frac{3(3x^{2}+4)}{3(2)}[/tex]

Simplify

[tex]\frac{(3x^{2}+4)}{(2)}[/tex]

[tex]\frac{3x^{2}}{2} +\frac{4}{2}[/tex]

[tex]\frac{3x^{2}}{2} +2[/tex]

Answer:

[tex]\frac{3x^{2} +4}{2}[/tex]

Step-by-step explanation:

I took the test

But if you need to explain it then here

[tex]\frac{9x^{2} +12}{6}[/tex]

Factor out 3 from the expression

[tex]\frac{3(3x^{2} +4)}{6}[/tex]

Then reduce the fraction with 3

[tex]\frac{3x^{2} +4}{2}[/tex]

And you should get your answer