Respuesta :

Answer:

C, 4x²y² + 5x + 1

Step-by-step explanation:

to solve, we can first factor the numerator by finding a GCF.

[tex]\frac{24x^3y^3+30x^2y+6xy}{6xy}[/tex]

the GCF of the numerator would be 6xy, as each term can be divided by 6xy. we have the following:

[tex]6xy(\frac{4x^2y^2+5x+1}{6xy})[/tex]

we can cancel out the numerator and the denominator as both contain 6xy so we have the following:

4x²y² + 5x + 1

we cannot simplify this any further, so our answer is C

Answer:

[tex](B) 4x^2y^2 + 5x + xy[/tex]

Step-by-step explanation:

[tex]\dfrac{24x^3y^3 + 30x^2y + 6x^2y^2}{6xy}[/tex]

6xy is a common factor.

[tex]= \dfrac{6xy(4x^2y^2 + 5x + xy)}{6xy}[/tex]

6xy from numerator and denominator are canceled off.

[tex]= 4x^2y^2 + 5x + xy[/tex]