What Is Balanced Equation For Cu(OH)2 Heated?

Cu(OH)2 is Copper Hydroxide
Copper Oxide is: CuO
Water is: H2O

So you just set these up in the order it tells you to:

Cu(OH)2 ------>> CuO + H2O

To balance, you need the same amount of elements on both sides.
They already match up so this your final answer:

1Cu(OH)2 ------>> 1CuO + 1H2O