What is x/2+(10)/(x+2) ?

The solution to x/2+(10)/(x+2) is (x^2+2x+20)/(2(x+2))

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simplify x/2+(10)/(x+2)

simplify

\frac{x}{2} + \frac{10}{x + 2}

\frac{x ^{2} + 2 x + 20}{2 ( x + 2 )}

Solution steps

\frac{x}{2} + \frac{10}{x + 2}

Least Common Multiplier of

2, x + 2 : 2 (x + 2)

Adjust Fractions based on the LCM

= \frac{x ( x + 2 )}{2 ( x + 2 )} + \frac{20}{2 ( x + 2 )}

Apply the fraction rule:

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

= \frac{x ( x + 2 ) + 20}{2 ( x + 2 )}

Simplify

x (x + 2) + 20 : x^{2} + 2 x + 20

= \frac{x ^{2} + 2 x + 20}{2 ( x + 2 )}

(x - 1) \cdot (x - 3)

\frac{1}{\frac{5}{5}}

- \frac{7}{81}

\frac{( 4 ^{8} ) ^{2} \cdot 64}{4 ^{20}}