What is 5/(x+5)+(4x)/(2x+6) ?

The solution to 5/(x+5)+(4x)/(2x+6) is (2x^2+15x+15)/((x+5)(x+3))

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simplify 5/(x+5)+(4x)/(2x+6)

simplify

\frac{5}{x + 5} + \frac{4 x}{2 x + 6}

\frac{2 x ^{2} + 15 x + 15}{( x + 5 ) ( x + 3 )}

Solution steps

\frac{5}{x + 5} + \frac{4 x}{2 x + 6}

Cancel

\frac{4 x}{2 x + 6} : \frac{2 x}{x + 3}

= \frac{5}{x + 5} + \frac{2 x}{x + 3}

Simplify

\frac{5}{x + 5} + \frac{2 x}{x + 3} : \frac{5 ( x + 3 ) + 2 x ( x + 5 )}{( x + 5 ) ( x + 3 )}

= \frac{5 ( x + 3 ) + 2 x ( x + 5 )}{( x + 5 ) ( x + 3 )}

Simplify

5 (x + 3) + 2 x (x + 5) : 2 x^{2} + 15 x + 15

= \frac{2 x ^{2} + 15 x + 15}{( x + 5 ) ( x + 3 )}

\frac{8 - 14 i}{1 - 3 i}

lo g_{e} (x^{2})

12 x^{2} + 12 x - 3

(9 - i) + (- 6 + 7 i)

\frac{8 x ^{3} + 8 x ^{2} + 12 x + 5}{2 x + 1}

What is 5/(x+5)+(4x)/(2x+6) ?
The solution to 5/(x+5)+(4x)/(2x+6) is (2x^2+15x+15)/((x+5)(x+3))