Question

cube of an even natural number is ​

Answer 1

Answer:

even

Step-by-step explanation:

Answer 2

Answer:

cube of an even no.

Step-by-step explanation:

Even Sum = 23 + 43 + 63 + .... + (2n)3 if we multiply by 23 then = 23 x (13 + 23 + 32 + .... + (n)3) = 23 + 43 + 63 + ......... + (2n)3 = 23 (n(n+1)/2)2 = 8(n(n+1))2/4 = 2(n(n+1))2

Example :

Sum of cube of first 4 even numbers = 23 + 43 + 63 + 83 put n = 4 = 2(n(n+1))2 = 2*(4*(4+1))2 = 2(4*5)2 = 2(20)2 = 800 8 + 64 + 256 + 512 = 800

hope it helps ♥️