Math, asked by Tiger557, 1 year ago

plz do this sum......properly with steps

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Answered by UnknownDude
0
[0010001111]... Hello User... [1001010101]
Here's your answer...

There's a formula, which says
If a+b+c = 0, a³+b³+c³ = 3abc
Here, a = 55, b = - 25, c = - 30
So 55³ - 25³ - 30³ = 3×55×(-25)×(-30)
= 41250
Want the proof for the formula? Here it is.
If a+b+c = 0, a+b = -c
Cubing both sides...
(a+b)³ = -c³
a³ + b³ + 3ab(a+b) = -c³
a³ + b³ + 3ab(-c) = -c³
a³ + b³ - 3abc = -c³
a³ + b³ + c³ = 3abc

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