#1419 · Algebra · Polynomials

Finding parameters from binomial terms

The $2^{e x t n d}$ , $3^{e x t r d}$ , and $4^{e x t t h}$ terms in the expansion of $(x + y)^{n}$ are $240$ , $720$ , and $1080$ respectively; find $x, y, n$ .

~15 minAnswer checked instantlyBinomial TheoremSystems of equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIII. Binomial Theorem: Positive Integral Index, Examples XIII.b, No. 9

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).