Question

2.
Prove that if a number is tripled, then its cube is 27 times the cube of the given
number.
​

Answer 1

Let a number be x.

Cube of the number = x³......(i)

If the number I tripled...

Number = 3x

Cube of the number = (3x)³ = 27x³......(ii)

From (i) and (ii),

Cube of the new number is 27 times the initial number.