Expand expressions of the form (x + y)^n
Enter a non-negative integer (maximum 50)
Newton's Binomial Theorem provides a way to expand expressions of the form (x + y)^n, where n is a non-negative integer. The expansion is given by:
\[(x + y)^n = \sum_{k=0}^n \binom{n}{k} x^{n-k} y^k\]
Where:
1. For (x + y)^2:
\[(x + y)^2 = x^2 + 2xy + y^2\]
2. For (x + y)^3:
\[(x + y)^3 = x^3 + 3x^2y + 3xy^2 + y^3\]
Newton's Binomial Theorem has numerous applications in: