Math, asked by mananjay23, 1 year ago

99)^3 evaluate ... . ​

Answers

Answered by Anonymous
34

HEYA USER ❤️

99=100-1

so, (99)³=(100-1)³

by using, (a-b)³=(a³-b³-3ab(a-b)

=100³-1³-3(100)(1)(100-1)

=1000000-1-300(99)

=1000000-1-29700

=970299

Therefore, (99)³=970299

#Be_brainly❣️

Answered by Anonymous
47

SOLUTION ☺️

(99) {}^{3}  \\  \\  =  > (99) {}^{3} = (100 - 1) {}^{3}  \\  \\  =  > (100) {}^{3}  - (1) {}^{3}  - 3(100)(1)(100 - 1) \:  \: (using \: indentity) \\  \\  =  > 1000000 - 1 - 300(100 - 1) \\  \\  >  > 1000000 - 1 - 30000 + 300 \\  \\  =  > 970299 \:  \: answer

hope it helps ✔️❣️

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