01.09.2020

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?

36h3, 12h6,

6h3

12h2

30h4

48h5

. 20

Step-by-step answer

17.02.2022, solved by verified expert
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268 students found this answer . helpful
The term that can be added to the list so the GCF is 12h3 would be 48h5.

The reason being is that 48 is first divisible by 12 and does not yield a fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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Mathematics
Step-by-step answer
P Answered by Master

The term that can be added to the list so the GCF is 12h3 would be 48h5.

I hope this helped!! :)

Mathematics
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P Answered by Specialist

The term that can be added to the list so the GCF is 12h3 would be 48h5.

I hope this helped!! :)

Mathematics
Step-by-step answer
P Answered by PhD

48h^5

Step-by-step explanation:

Mathematics
Step-by-step answer
P Answered by PhD
Any multiple of 12h^3.

Remember that the greatest common factor is the common terms raised to the lowest power. Then you can include any terms that includes 12h^3

For example, 12h^3, or 24h^12, 60h^9, etc. 

Hope This Helps!
Mathematics
Step-by-step answer
P Answered by Specialist
The answer would be the fourth one (48h^5)
Mathematics
Step-by-step answer
P Answered by Specialist
48h5 is the correct answer
Mathematics
Step-by-step answer
P Answered by Specialist
48h5 is the correct answer
Mathematics
Step-by-step answer
P Answered by PhD
Any multiple of 12h^3.

Remember that the greatest common factor is the common terms raised to the lowest power. Then you can include any terms that includes 12h^3

For example, 12h^3, or 24h^12, 60h^9, etc.
Mathematics
Step-by-step answer
P Answered by PhD

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

Mathematics
Step-by-step answer
P Answered by PhD

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

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