Question

1)2ab-b/3c+a+b/3c 2)5x-6/x-y-7+x/x-y 3)4b-3/2-a-5b-6/2-a 5)5b/18a+a/6b 6)x/24y-3y/16x

Answer 1

1)2ab+a
2)5x^2-6-2xy-6x/x
3)-b-9/2-2a
5)5b^2+3a^2/18ab
6)2x^2-9y^2/48xy

Answer 2

It looks like you've provided several algebraic expressions, and I assume you want to simplify them. Let's simplify each expression step by step:

1. $\frac{2ab - \frac{b}{3c} + a + \frac{b}{3c}}{3c}$

   Combine like terms in the numerator:

   $= \frac{2ab + a}{3c}$

2. $\frac{5x - \frac{6}{x-y} - 7 + \frac{x}{x-y}}{x}$

   Combine like terms in the numerator:

   $= \frac{5x - 7 - \frac{6}{x-y} + \frac{x}{x-y}}{x}$

3. $\frac{4b - \frac{3}{2-a} - 5b - \frac{6}{2-a}}{2-a}$

   Combine like terms in the numerator:

   $= \frac{(4b - 5b) - \frac{3 + 6}{2-a}}{2-a}$

   $= \frac{-b - \frac{9}{2-a}}{2-a}$

4. $\frac{5b}{18a} + \frac{a}{6b}$

   Find a common denominator, which is $18ab$:

   $= \frac{5b^2 + 3a^2}{18ab}$

5. $\frac{\frac{x}{24y} - \frac{3y}{16x}}{1}$

   Find a common denominator, which is $24xy \times 16x = 384x^2y$:

   $= \frac{16x^2 - 72y^2}{384x^2y}$

I hope this helps! Let me know if you need further assistance.