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oksian1 [2.3K]
2 years ago
8

Which monomial is a perfect cube? 49p9q3r24 81p12q15r12 121p9q3r6 343p6q21r6.

Mathematics
1 answer:
Makovka662 [10]2 years ago
6 0

The monomial is a perfect cube is \rm 343p^6q^{21}r^6.

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which monomial is a perfect cube?

A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.

It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.

A perfect cube monomial must have exponents on the variables.

Then

The monomial is a perfect cube is;

\rm= 343p^6q^{21}r^6\\\\= \sqrt[3]{  343 }= 7

Hence, the monomial is a perfect cube is \rm 343p^6q^{21}r^6.

\rmTo know more about Monomial click the link is given below.

brainly.com/question/5245372

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Answer with explanation:

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→y²+5y+6

=y²+3 y+2 y+6

=y×(y+3)+2×(y+3)

=(y+2)(y+3)

→y² -3 y-10

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Please help quick lol
sergiy2304 [10]

Hello!!

here's ur answer...

given that the volume of cube=343cm³

side³=343cm³

side=³√343

side=7cm

verification:-

volume of cube=side³

=7×7×7

=343cm³

hence, verified.

the length of the edge of cube is 7cm.

hope this helps....

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