Expand (ax+b)^n using the binomial theorem, showing each term and coefficient.
The binomial theorem states that (ax+b)^n = Σ C(n,k)·(ax)^(n−k)·b^k for k = 0 to n. Each term's coefficient is a binomial coefficient C(n,k) multiplied by the appropriate powers of a and b.
Binomial Theorem
(ax+b)^n = Σ C(n,k) · a^(n-k) · b^k · x^(n-k)
The calculator supports exponents from 0 to 20. Beyond that, coefficients become extremely large.
Yes — set a=1, b=1, n=5 to get x^5 + 5x^4 + 10x^3 + 10x^2 + 5x + 1.