Question

show thast if a number is doubled then it cube becomes eight times the cube of a given number

Answer 1

let us take a number x
cube of this number is x^3
if it is doubled I. e 2x
then it's cube is (2x) ^3 = 8x^3
so clearly it is 8 times that of the given number
hence proved

Answer 2

Solution:-

let a number is = x

=
$x \times x \times x = {x}^{3 } \\ then \\ 2x \times 2x \times 2x = ({2x})^{3} \\ ans$