When you add any fractions, you need to find a common denominator. In this case they have no common factors so you just multiply them together. First multiply the first fraction by
![\frac{x - 2}{x - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%202%7D%7Bx%20-%202%7D%20)
which gets you
![\frac{3x - 6}{ x^{2} - 2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%20-%206%7D%7B%20x%5E%7B2%7D%20%20-%202x%7D%20)
. Then multiply the second fraction by
![\frac{x}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Bx%7D%20)
to get
![\frac{5x}{ x^{2} - 2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5x%7D%7B%20x%5E%7B2%7D%20%20-%202x%7D%20)
. Now you can add them together to get
![\frac{-2x - 6}{ x^{2} - 2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2x%20-%206%7D%7B%20x%5E%7B2%7D%20%20-%202x%7D%20)
.
(b)
![\sqrt{18} = \sqrt{9 * 2} = 3 \sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B18%7D%20%20%3D%20%20%5Csqrt%7B9%20%2A%202%7D%20%20%3D%203%20%5Csqrt%7B2%7D%20)
![\sqrt{72} = \sqrt{36 * 2} = 6 \sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B72%7D%20%3D%20%20%5Csqrt%7B36%20%2A%202%7D%20%20%3D%206%20%5Csqrt%7B2%7D)
now you can pull out root 2 and get
![\sqrt{2}(3 - 1 + 6)](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%283%20-%201%20%2B%206%29%20)
which equals
Answer:
y=5
Step-by-step explanation: