Question Number 207196 by lmcp1203 last updated on 09/May/24
$${if}\:\mathrm{2}\left({a}^{\mathrm{2}} −{b}^{\mathrm{2}} \right)^{\mathrm{5}\:} {it}\:{is}\:{a}\:{term}\:{of}\:{notable}\:{quotient}\:{of}\:\:\left(\left({a}+{b}\right)^{{n}} −\left({a}−{b}\right)^{{n}} \right)/\left({ab}+{b}^{\mathrm{2}} \right)\:\:{find}\:\:{n}. \\ $$