jairetmomentum jairetmomentum
  • 11-07-2018
  • Mathematics
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(21gh^4)(6g^6h^2)(3g^2h^6) find the greatest common factor of the monomials

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mbh292
mbh292 mbh292
  • 11-07-2018
The answer is
[tex]3g {h}^{2} [/tex]
To find greatest common factor, look at the variables: g, h

Look at their coefficients and exponents:
[tex]21g \: \: \: 6 {g}^{6} \: \: \: 3 {g}^{2} \\ {h}^{4} \: \: \: {h}^{2} \: \: \: {h}^{6} [/tex]
Find the two groups' GCF:
[tex]3g \\ {h}^{2} [/tex]
Combine:
[tex]3g {h}^{2} [/tex]
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