Question

rút gọn biểu thức  \(x-\sqrt{xy}+y\)

Answer 1

\(x-\sqrt{xy}+y=\left(\sqrt{x}\right)^2-2\sqrt{xy}+\left(\sqrt{y}\right)^2+\sqrt{xy}=\left(\sqrt{x}-\sqrt{y}\right)^2+\sqrt{xy}\)

Answer 2

\(=x-\sqrt{xy}+\dfrac{1}{4}y+\dfrac{3}{4}y\\ =\left(\sqrt{x}-\dfrac{1}{2}\sqrt{y}\right)^2+\dfrac{3}{4}y\)