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Show that when a number is trebled, its cube is 27 times the cube of the given number.

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

Let the given number be p and let q denote the treble of p, i.e., q = 3p

Now, q3 = q q q = 3p 3p 3p = 3 3 3 p p p = 27 p3

Thus, q3 = 27 (cube of p)

Answered by Expert 4th June 2014, 3:23 PM
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