Question

derive n+1 whole power 4 formula please immediately
but don't copy in chrome

Answer 1

Hi you can use Pascals triangle for this.
It gives the coefficients of a and b in the expansion of (a+b)^n and it is easy to construct.

1
1 1 (a+b)
1 2 1 (a+b)^2
1 3 3 1 (a+b)^3
1 4 6 4 1 (a+b)^4
1 5 10 10 5 1 (a+b)^5
etc .....
Now in your case a = n and b = 1,
Coefficients are 1, 4, 6, 4, 1
Therefore
${(n + 1)}^{4} = {n}^{4} + 4 {n}^{3} \times 1 + 6 {n}^{2} \times {1}^{2} + 4 {n}^{1} \times {1}^{3} + {1}^{4}= \\ {n}^{4} + 4 {n}^{3} + 6 {n}^{2} + 4n + 1$