Question

desenvolva os produtos notáveis

(3y^3+z²)²​

Answer 1

$\left(3y^3+z^2\right)^2~=~\left(3y^3+z^2\right)~.~\left(3y^3+z^2\right)\\\\\\\left(3y^3+z^2\right)^2~=~\left(3y^3~.~3y^3~+~3y^3~.~z^2~+~z^2~.~3y^3~+~z^2~.~z^2\right)\\\\\\\left(3y^3+z^2\right)^2~=~3^2y^{3+3}~+~3y^3z^2~+~3y^3z^2~+~z^{2+2}\\\\\\\boxed{\left(3y^3+z^2\right)^2~=~9y^{6}~+~6y^3z^2~+~z^{4}}$