anonymous
  • anonymous
Find the greatest common factor of these two expressions. 8u^6v^8 and 28u^7v^2x^3
Algebra
jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
First, find the GCF of the coefficients (the numbers) 8 and 28.
mathstudent55
  • mathstudent55
\(8u^6v^8\) \(28u^7v^2x^3\) Show every factor of the two terms: \(8u^6v^8 = 2 \times 2 \times 2 \times uuuuuu \times vvvvvvvv\) \(28u^7v^2x^3 = 2 \times 2 \times 7 \times uuuuuuu \times vv \times xxx\)
anonymous
  • anonymous
?

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UsukiDoll
  • UsukiDoll
mathstudent55 expanded everything out for you... you just have to figure out what the two of those expressions have in common
mathstudent55
  • mathstudent55
The GCF is the product of all factors both terms have in common: \(8u^6v^8 = \color{red}{2 \times 2} \times 2 \times \color{red}{uuuuuu} \times \color{red}{vv}vvvvvv\) \(28u^7v^2x^3 = \color{red}{2 \times 2} \times 7 \times \color{red}{uuuuuu}u \times \color{red}{vv} \times xxx\)
mathstudent55
  • mathstudent55
You see above the common factors in red.

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