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Question

Find the cube root of the result obtained when you subtract x^3 from 4097x^3.

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Solution

subtract 4097x^3-x^3 = x^3(4097-1) = 4096x^3. -- -(1)

now to find cube root ...... from (1)
1)taking cube root of 4096,we get 16.
2)taking cube root of x^3 ,we get x.
therefore cuberoot of 4096x^3 is 16x.

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