Question

prove that if a no. is doubled then it's cube is 8 times the cube of the given no.

Answer 1

Heya. dear
let a number = a
it's cube will be a×a×a = a³

now atq 2a
it's cube will be
2a ×2a ×2a => 8a³ or (2a)³

Answer 2

Answer:

You have asked to prove that double the number and its cube is 8 times the cube of given number…

Step-by-step explanation:

Lets see….

Let the number be = X

Double the number = X + X = 2X

Cube of 2X = (2X)^3 = 2 x2 x 2x X x X x X = 8X^3.

Now to the second part…

8 times the cube of a number = 8 times the cube of number x = 8 x X^3 = 8X^3 = L.H.S.