Show that if a number is doubled , then it's cube becomes eight times the cube of the given number ??
Answers
Answered by
17
number=x
cube=x^3
doubled number = 2x
its cube = (2x)^3
= 8x^3
Therefore it is 8 times the cube of the given number
cube=x^3
doubled number = 2x
its cube = (2x)^3
= 8x^3
Therefore it is 8 times the cube of the given number
682:
Thanks but I hv'nt studied this sign (^)
Answered by
22
Answer:
To prove: If a number is doubled then its cube is 8 times the cube of the given number.
Proof: Let the number be 'a'
The double of the number = 2a
Cube of the number = a3
According to the given problem,
Cube of 2a (double of the number) = ( 2a)3
= 8 a3
= 8 x ( cube of the number )
= 8 times the cube of the number
Hence Proved.
Similar questions
Art,
7 months ago
Physics,
7 months ago
Math,
7 months ago
Social Sciences,
1 year ago
CBSE BOARD X,
1 year ago