(A-4) power of 3 +1=

Question

Solve (a-4) power if three +1=

Answer 1

I assume you mean

 

(A - 4)^{3 + 1}

 

But you could have meant

 

(A - 4)³ + 1

 

I will work the former.

 

(A - 4)^{3 + 1} = (A - 4)⁴

 

Doing a binomial expansion using Paschal's triangle,

 

1

11

121

1331

14641

 

The coefficients are 1, 4, 6, 4, 1

 

The signs alternate because of the -4.

 

(A - 4)⁴ = A⁴ - 4A³(4) + 6A²(4²) - 4A(4³) + 4⁴

 

You may simplify it further if you wish.