Question

Without actually calculating the cubes find the value of 45 cube minus 25 cube minus 20 cube

Answer 1

45 ³ — 25³ - 20³
= (50 - 5)³ - (50-25)³ - (50-20)³

By using the equation
(a - b) ³ = a³ - b³ + 3 ab (a-b)
In all the cases and at last the answer would be
67500

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