Tame this intimidating expression...

Algebra Level pending

If ( x 3 + 1 ) 5 − 5 ( x 3 + 1 ) 4 + 10 ( x 3 + 1 ) 3 − 10 ( x 3 + 1 ) 2 + 5 ( x 3 + 1 ) − 1 (x^3+1)^5 -5(x^3+1)^4 + 10(x^3+1)^3 -10(x^3+1)^2 + 5(x^3+1)- 1 can be expressed as x k x^k , then k = ? k =?


The answer is 15.

Noel Lo by Noel Lo , 24, Singapore

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