54p⁵ - 11p²q³ - q⁵ and 12p⁵ + 11p⁴q + q⁵,
and the least common multiple of
a²c(ab - b²), 4(a² - b²)c³, 6b²c. 3(ab² + a²b).
4. Simplify:
(1) ((p + 3)/(p² + 2)) + (1/(2p + 2)) - (1/(p - 1));
(2) {p(p + q) - q(p - q)} {p(p - q) - q(q - p)} ÷ (p³ - q³).
5. Solve the equations:
(1) (x + 3)/6 - (11 - x)/7 = (⅖)(x - 4) - (⅟₂₁)(x - 3);
(2) 1/(x + 1) + 2/(x + 2) = 3/(x + 3);