\(c,x\sqrt{x}+y\sqrt{y}\left(x,y>0\right)\\ =\left(\sqrt{x}+\sqrt{y}\right)\left(x+\sqrt{xy}+y\right)\\ d,a-2\sqrt{a}\left(a>0\right)\\ =\sqrt{a}\left(\sqrt{a}-2\right)\\ e,x-3\left(x>0\right)\\ =\left(\sqrt{x}-\sqrt{3}\right)\left(\sqrt{x}+\sqrt{3}\right)\\ f,a-b\left(a,b>0\right)\\ =\left(\sqrt{a}-\sqrt{b}\right)\left(\sqrt{a}+\sqrt{b}\right)\)
c: \(x\sqrt{x}+y\sqrt{y}=\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{xy}+y\right)\)
d: \(a-2\sqrt{a}=\sqrt{a}\left(\sqrt{a}-2\right)\)
e: \(x-3=\left(\sqrt{x}-\sqrt{3}\right)\left(\sqrt{x}+\sqrt{3}\right)\)
f: \(a-b=\left(\sqrt{a}-\sqrt{b}\right)\left(\sqrt{a}+\sqrt{b}\right)\)
