prove by mathematical induction that: -

1^4 + 2^4 + 3^4 + .... + n^4 =6n^5 + 15n^4 + 10n^3 - n30

Hint : ( Expand 6(n-1)^5 +15(n-1)^4 +10(n-1)^3 -(n-1) as a polynomial in n.)

please help me...

give me some example to solve this problem

i just don't want the answer buy the work outs

thank you