What is sqrt(6-x)-x/(2sqrt(6-x)) ?

The solution to sqrt(6-x)-x/(2sqrt(6-x)) is (12-3x)/(2sqrt(6-x))

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simplify sqrt(6-x)-x/(2sqrt(6-x))

simplify

6 - x - \frac{x}{2 6 - x}

\frac{12 - 3 x}{2 6 - x}

Solution steps

6 - x - \frac{x}{2 6 - x}

Apply the fraction rule:

a - \frac{b}{c} = \frac{a c - b}{c}

= \frac{6 - x \cdot 2 6 - x - x}{2 6 - x}

Simplify

6 - x \cdot 2 6 - x : 2 (6 - x)

= \frac{2 ( 6 - x ) - x}{2 6 - x}

Simplify

2 (6 - x) - x : 12 - 3 x

= \frac{12 - 3 x}{2 6 - x}

\frac{- 40}{8}

- 66 b^{3} + 66 b^{2} - 168 b

12 \times \frac{1}{6}

\frac{1}{10} \div 3

(\frac{1}{2} 3)^{2}

What is sqrt(6-x)-x/(2sqrt(6-x)) ?
The solution to sqrt(6-x)-x/(2sqrt(6-x)) is (12-3x)/(2sqrt(6-x))