Question

Need assistance with this one please

Answer 1

Answer:

$(B) 4x^2y^2 + 5x + xy$

Step-by-step explanation:

$\dfrac{24x^3y^3 + 30x^2y + 6x^2y^2}{6xy}$

6xy is a common factor.

$= \dfrac{6xy(4x^2y^2 + 5x + xy)}{6xy}$

6xy from numerator and denominator are canceled off.

$= 4x^2y^2 + 5x + xy$

Answer 2

Answer:

C, 4x²y² + 5x + 1

Step-by-step explanation:

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

$\frac{24x^3y^3+30x^2y+6xy}{6xy}$

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

$6xy(\frac{4x^2y^2+5x+1}{6xy})$

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