Question

using suitable identities calculate value of (99)cube​

Answer 1

$(99)^3 \\ \\ \implies (100-1)^3 \\ \\ \sf \green {using~identity~{a-b}^3=(a)^3 - (b)^3 - 3ab(a-b)}\\ \\ \implies (100)^3-(1)^3-3(100)(1)(100-1) \\ \\ \implies 1000000 -1 -300(99) \\ \\ \implies 1000000 - 1 - 29700 \\ \\ \implies 970299$