Question

(2a + 2b)elevado a 2 _a.(a-2b) forma reduzida?

Answer 1

Olá!

$\\ \mathsf{(2a + 2b)^2 - a \cdot (a - 2b) =} \\\\ \mathsf{\left [ 2(a + b) \right ]^2 - (a^2 - 2ab) =} \\\\ \mathsf{4(a + b)^2 - a^2 + 2ab =} \\\\ \mathsf{4(a^2 + 2ab + b^2) - a^2 + 2ab =} \\\\ \mathsf{4a^2 + 8ab + 4b^2 - a^2 + 2ab =} \\\\ \boxed{\mathsf{3a^2 + 10ab + 4b^2}}$