Question

expand the expression: (x+h)^4

Answer 1

using pascals triangle:
x^4 + 4x^3h + 6x^2h^2 + 4xh^3 + h^4

Answer 2

(x + h)⁴ = x⁴ + 4x³h + 6x²h² + 4xh³ + h⁴

the powers of the x decrease and the powers of the h increase

the coefficients come from pascals triangle

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
etc

These can also be found using combinations
nCr

(a + b)^n = ∑(r = 0 to n) nCr a^(n - r) b^r