(m^2 - 16n^2) / [(3m+12n)/mn]

Answer appears to be correct: mn(m - 4n)/3 for ?????

I can't figure out the limitation -- tried m≠0, n≠0, m≠-4n and shows as incorrect. Also tried m≠0, n≠0 and just m≠4n. Shows as incorrect. Help would be very much appreciated!

Question

06-02-2022
Mathematics

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(m^2 - 16n^2) / [(3m+12n)/mn]

Answer appears to be correct: mn(m - 4n)/3 for ?????

I can't figure out the limitation -- tried m≠0, n≠0, m≠-4n and shows as incorrect. Also tried m≠0, n≠0 and just m≠4n. Shows as incorrect. Help would be very much appreciated!

Sagot :

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Lpina68idn Lpina68idn · Answer 1 · 2022-02-06T00:37:12-05:00

Lpina68idn Lpina68idn

06-02-2022

Answer:

All four restrictions apply:

m not= 0

n not= 0

m not= -4n

n not= m/-4

Step-by-step explanation:

For a rational expression, any expression that is a denominator AT ANY POINT in the calculation, must have the appropriate restrictions applied. There are two different expressions, mn and m+4n that we are concerned about here. See image. All four restrictions must be applied.

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