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aalyn [17]
3 years ago
14

Which monomials are divisible by 6y^2?

Mathematics
2 answers:
zimovet [89]3 years ago
8 0
<h2>Answer:</h2>

Option: A is the correct answer.

                  A)  12y³

<h2>Step-by-step explanation:</h2>

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

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

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.

kifflom [539]3 years ago
4 0

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).

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