Question

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

Answer 1

Answer:

x³ & 27x³ is your answer dear.

Step-by-step explanation:

Hope it helps

Answer 2

let us assume that the original number= x

$=x {}^{3}$

$its \: cube \: = (x) {}^{3}$

if the original number is tripled then the new number = 3*x

= 3x

$cube \: of \: the \: new \: number \: = (3x) {}^{3}$

3x* 3x* 3x

$= 27x {}^{3}$

therefore

cube of a original number: cube of the new number which is tripled

1:27

hence the cube of the new number is 27 times the cube of the original number

hence proved