Answer:
(a) (a -c)√x +b√y
Step-by-step explanation:
Like radicals can be combined in the same way that like terms can be combined. Like radicals have the same value under the radical symbol.
Here, the like terms are {a√x, -c√x}. As with other kinds of like terms, the distributive property helps you combine them:
[tex]a\sqrt{x}+b\sqrt{y}-c\sqrt{x} = a\sqrt{x}-c\sqrt{x}+b\sqrt{y}\\\\=\boxed{(a-c)\sqrt{x}+b\sqrt{y}}[/tex]
