Question

Which monomials are divisible by 6y^2?

Answer 1

Answer:

Option: A is the correct answer.

                  A)  12y³

Step-by-step explanation:

We are asked to find the monomials which are divisible by 6y².

We know that a monomial is divisible by the other monomial if it contain all the factor of the divisor monomial.

The factors of the divisor monomial are:

6y²=2×3×y×y

A)

                  12y³

The factor of this dividend monomial is:

12y³=2×2×3×y×y×y

The monomial contains all the factors of the divisior monomial.

Hence, it is divisible by 6y².

B)

                          24y

The factor of this dividend monomial is:

24y=2×2×2×3×y

The monomial does not contains all the factors of the divisior monomial.

Hence, it is not divisible by 6y².

Answer 2

Answer:

A) $12y^{3}$

Step-by-step explanation:

A) $\frac{12y^{3} }{6y^{2} }$

$=\frac{2y(6y^{2} )}{6y^{2}}$

= 2y

B) $\frac{24y}{6y^{2} }$

$=\frac{4}{y}$

Hence, $12y^{3}$ is divisible by $6y^{2}$ and the correct option is (A).