Question

Prove that if a number is doubled then its cube is 8 times the cube of the given
number.

Give proper explanation.​

Answer 1

Let the number be x

Cube of the given number (i) = x³

Now if the number is double = 2 × x = 2x

Cube of the given number (ii) = (2x)³ = 8x³

Hence using i and ii

( ii ) = 8 × ( i )

Answer 2

Answer:

8

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