Evaluate 995 whole cube using suitable identity
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Answer:
985074875
Step-by-step explanation:
(995)³
(1000-5)³
(a-b)³ = a³ - b³ -3a²b + 3ab²
= (1000)³ - (5)³ - 3(1000)²(5) + 3(1000)(5)²
= 1000000000 - 125 - 3(1000000)(5) + 3(1000)(25)
= 1000000000 - 125 - 15000000 + 75000
= 1000075000 - 15000125
= 985074875
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