Question

Qual o trinômio que se obtém ao efetuar (a+b/3) ao quadrado )

Answer 1

Bom dia

(a+b/3)²
a²+2ab/3+b²/9

Answer 2

O quadrado da soma é:

$\mathsf{x^2+2xy+y^2}$

Aplicando a propriedade teremos:

$\mathsf{\left(a+\dfrac{b}{3}\right)^2}\\\\\\\mathsf{a^2+\left(2\cdot a\cdot \dfrac{b}{3}\right)+\left(\dfrac{b}{3}\right)^2}\\\\\\\mathsf{a^2+\dfrac{2ab}{3}+\dfrac{b^2}{3^2}}\\\\\\\boxed{\mathsf{a^2+\dfrac{2ab}{3}+\dfrac{b^2}{9}}}\: \: \checkmark$