(MAUÁ)
Calcular $\,a\,$ e $\,b\,$, sabendo-se que $\,(a\,+\,b)^{\large 3}\,=\,64\,$ e que$\,a^{\large 5}\,-\,{\large \binom{5}{1}}a^{\large 4}b\,+\,$ $\,{\large \binom{5}{2}}a^{\large 3}b^{\large 2}\,-\,{\large \binom{5}{3}}a^{\large 2}b^{\large 3}\,+\,$ $\,{\large \binom{5}{4}}ab^{\large 4}\,-\,b^{\large 5}\,=\,-32\;$.