Question

using suitable identities evaluate (99) ^3​

Answer 1

Answer:

Step-by-step explanation: (99)3 = (100 − 1)3. = (100)3 − (1)3 − 3(100) (1) (100 − 1) = 1000000 − 1 − 300(99) ...

= 970299. (102)3 = (100 + 2)3. = (100)3 + (2)3 + 3(100) (2) (100 + 2) = 1000000 + 8 + 600 (102) ...

= 1061208. (998)3= (1000 − 2)3. = (1000)3 − (2)3 − 3(1000) (2) (1000 − 2) ...

= 994011992.

Step-by-step explanation:

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Answer 2

948519

Step-by-step explanation:

(100-1)^3=(100)^3-(1)^3-3(100)^2(1)+3(100)(1)^2

formula (a-b)^3=a^3-b^3-3(a)^2(b)+3a(b)^2