Question

determinar a forma mais simples de descrever: (2a+b).(a-2b)

Answer 1

Determinar a forma mais simples de descrever: (2a+b).(a-2b)

(2a + b)(a -2b) =
2a² - 4ab + ba - 2b² =
2a² - 4ab + ab - 2b²
2a² - 3ab - 2b²


assim

(2a + b)(a - b) = 2a² - 3ab - 2b²

Answer 2

$(2a+b).(a-2b)\to\\\\ (2a.a)+(2a.(-2b))+(b.a)+(b.(-2b))\to\\\\ 2a^2-4ab+ab-2b^2\to\\\\ \large\boxed{2a^2-2b^2-3ab}$