ellisoshea1223
ellisoshea1223 ellisoshea1223
  • 11-09-2020
  • Mathematics
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What is the greatest common factor of the two expressions?
7a^2
8a^3b^2

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 11-09-2020

Answer:

a²

Step-by-step explanation:

(see attached for reference)

We can find GCF by expressing each expression into their prime factors

7a² = 7 x a x a

8a³b² = 8 x a x a x a x b x b

by observation, we can see that a x a or a² shows up in both expressions, highlighted in bold here:

7a² = 7 x a x a

8a³b² = 8 x a x a x a x b x b

Hence the greatest common factor is a x a = a²

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