Question

x^2+2xy+y^2/1/x+1/y как разделить?

Answer 1

$\dfrac{x^2+2xy+y^2}{\dfrac{1}{x}+\dfrac{1}{y}}=\dfrac{x^2+2xy+y^2}{\dfrac{y+x}{xy}}=\dfrac{xy(x^2+2xy+y^2)}{y+x}=\dfrac{xy(x+y)^2}{y+x}=\\\\\\ =\dfrac{xy(x+y)(x+y)}{x+y}=xy(x+y)=\bold{x^2y+xy^2}$