#1824 · Algebra · Polynomials
Sum of Multinomial Coefficients
If $(1 + x + x^2 +
otes + x^p)^n = a_0 + a_1x + a_2x^2 +
otes + a_{np}x^{np}a_0 + a_1 + a_2 +
otes + a_{np} = (p + 1)^n$.
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XV. Multinomial Theorem, Examples XV, No. 19 (part 1)
Stuck? A gentle nudge
Your working
Check your full solution
Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.