Question

uma maneira mais simplificada de escrever o valor de A= (x+y)²-(x-y)²:xy, xy=0

Answer 1

$\Large\boxed{\begin{array}{l}\sf Uma\,maneira\,mais\,simplificada\,de\\\sf escrever\,o\,valor\,de\,A=\dfrac{(x+y)^2-(x-y)^2}{xy},\\\sf com\,xy\ne0\,\acute e:\\\underline{\boldsymbol{Soluc_{\!\!,}\tilde ao\!:}}\\\sf A=\dfrac{(x+y)^2-(x-y)^2}{xy}\\\\\sf A=\dfrac{x^2+2xy+y^2-(x^2-2xy+y^2)}{xy}\\\\\sf A=\dfrac{ \diagup\!\!\!\!\!x^2+2xy+\diagup\!\!\!\!\!y^2-\diagup\!\!\!\!\!x^2+2xy-\diagup\!\!\!\!y^2}{xy}\\\\\sf A=\dfrac{4\,\diagdown\!\!\!\!\!xy}{\diagdown\!\!\!\!\!xy}\\\\\huge\boxed{\boxed{\boxed{\boxed{\sf A=4}}}}\end{array}}$