Asked by rachel
Which expression is the greatest common factor of (125t^3 m^5+60t^4 m^4+85t^5 m^2)
Answers
Answered by
Steve
don't know how the parentheses are supposed to help. If you mean the GCF of
(125t^3) (m^5+60t^4) (m^4+85t^5) (m^2)
I'd say its just the product, since they have no common factor at all.
If you mean
(125t^3 m^5) (60t^4 m^4) (85t^5 m^2)
then we have
125 t^3 m^5 = 5^3 t^3 m^5
60 t^4 m^4 = 2^2 3 5 t^4 m^4
85 t^5 m^2 = 5 17 t^5 m^2
GCF = 5 t^3 m^2
Look for highest power of each prime/variable that appears in all expressions
(125t^3) (m^5+60t^4) (m^4+85t^5) (m^2)
I'd say its just the product, since they have no common factor at all.
If you mean
(125t^3 m^5) (60t^4 m^4) (85t^5 m^2)
then we have
125 t^3 m^5 = 5^3 t^3 m^5
60 t^4 m^4 = 2^2 3 5 t^4 m^4
85 t^5 m^2 = 5 17 t^5 m^2
GCF = 5 t^3 m^2
Look for highest power of each prime/variable that appears in all expressions
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