Question

Use the Binomial Theorem to expand the binomial. (1 point) Responses Image with alt text: s Superscript 5 baseline minus 5 s Superscript 4 baseline v plus 10 s cubed v squared minus 10 s squared v cubed plus 5 s v Superscript 4 baseline minus v Superscript 5 baseline Image with alt text: s Superscript 5 baseline plus 15 s Superscript 4 baseline v plus 90 s cubed v squared plus 270 s squared v cubed plus 405 s v Superscript 4 baseline plus 243 v Superscript 5 baseline Image with alt text: s Superscript 5 baseline plus 45 s Superscript 4 baseline v plus 270 s cubed v squared plus 810 s squared v cubed plus 1,215 s v Superscript 4 baseline plus 729 v Superscript 5 baseline

Answer 1

The expansion of the binomial is:
(1s^5 - 5s^4v + 10s^3v^2 - 10s^2v^3 + 5sv^4 - v^5) =
1s^5 + 15s^4v + 90s^3v^2 + 270s^2v^3 + 405sv^4 + 243v^5 =
1s^5 + 45s^4v + 270s^3v^2 + 810s^2v^3 + 1,215sv^4 + 729v^5