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  • Without actually calculating the cubes find the value of 100^3-60^3-40^3.

Without actually calculating the cubes find the value of 100^3-60^3-40^3.

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a^3 + b^3 + c^3 = 3abc , $ if a + b +c =0 $ \\ $ here a = 100 , b=-60 , c = -40 \\ 100^3 - 60^3 - 40 ^3 = 3 \times 100\times -60 \times -40 \\ =720000

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Ravindra Pindel

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