What is (2-4/(x+2))/(5+\frac{10){x+2}} ?

The solution to (2-4/(x+2))/(5+\frac{10){x+2}} is (2x)/(5x+20)

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simplify (2-4/(x+2))/(5+\frac{10){x+2}}

simplify

\frac{2 - \frac{4}{x + 2}}{5 + \frac{10}{x + 2}}

\frac{2 x}{5 x + 20}

Solution steps

\frac{2 - \frac{4}{x + 2}}{5 + \frac{10}{x + 2}}

Join

2 - \frac{4}{x + 2} : \frac{2 x}{x + 2}

= \frac{\frac{2 x}{x + 2}}{5 + \frac{10}{x + 2}}

Join

5 + \frac{10}{x + 2} : \frac{5 x + 20}{x + 2}

= \frac{\frac{2 x}{x + 2}}{\frac{5 x + 20}{x + 2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{2 x ( x + 2 )}{( x + 2 ) ( 5 x + 20 )}

Cancel the common factor:

x + 2

= \frac{2 x}{5 x + 20}

\frac{3}{4} + \frac{- 2}{5} + \frac{- 7}{10}

\frac{\frac{1}{2} ( cos ^{2} ( x ) - 1 )}{sin ( x ) tan ( x )}

r - 5 r - 6 s + 8 s - 15

1 \cdot 1 \cdot 1

(x (9 x^{2} + 6)^{\frac{1}{2}})^{2}

What is (2-4/(x+2))/(5+\frac{10){x+2}} ?
The solution to (2-4/(x+2))/(5+\frac{10){x+2}} is (2x)/(5x+20)