Question

(2x/3 -y/2)ao quadrado

Answer 1

Produto Notável ---> O quadrado do 1° mais duas vezes o 1° multiplicado pelo 2° mais o quadrado do 2°.


$\left( \dfrac{2x}{3} - \dfrac{y}{2} \right)^2\to\\\\\\ \left( \dfrac{2x}{3} - \dfrac{y}{2} \right) \left( \dfrac{2x}{3} - \dfrac{y}{2} \right) \to\\\\\\ \dfrac{4 x^{2} }{9}-\dfrac{2xy}{6}-\dfrac{2xy}{6}+\dfrac{y^2}{4}\to \\\\\\ \dfrac{4 x^{2} }{9}+2.\left(-\dfrac{2xy}{6}\right)+\dfrac{y^2}{4}\to\\\\\\ \dfrac{4 x^{2} }{9}-\dfrac{4xy}{6}+\dfrac{y^2}{4} \\\\\\ \large\boxed{ \dfrac{4 x^{2} }{9}-\dfrac{2xy}{3}+\dfrac{y^2}{4}}$