What is 5/(x-5)+(x+6)/(3x+6) ?

The solution to 5/(x-5)+(x+6)/(3x+6) is (x^2+16x)/(3(x-5)(x+2))

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simplify 5/(x-5)+(x+6)/(3x+6)

simplify

\frac{5}{x - 5} + \frac{x + 6}{3 x + 6}

\frac{x ^{2} + 16 x}{3 ( x - 5 ) ( x + 2 )}

Solution steps

\frac{5}{x - 5} + \frac{x + 6}{3 x + 6}

Least Common Multiplier of

x - 5, 3 x + 6 : 3 (x - 5) (x + 2)

Adjust Fractions based on the LCM

= \frac{15 ( x + 2 )}{3 ( x - 5 ) ( x + 2 )} + \frac{( x + 6 ) ( x - 5 )}{3 ( x - 5 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{15 ( x + 2 ) + ( x + 6 ) ( x - 5 )}{3 ( x - 5 ) ( x + 2 )}

Simplify

15 (x + 2) + (x + 6) (x - 5) : x^{2} + 16 x

= \frac{x ^{2} + 16 x}{3 ( x - 5 ) ( x + 2 )}

x^{\frac{1}{3}} \times x^{\frac{1}{4}}

18 x^{2} - 27 x

5 x + 23 y - 31 + 39 - 18 y + 10 x

\frac{13 a}{4 a ^{2}} + \frac{5 a}{4 a ^{2}}

\frac{1}{( 2 ^{1.5} )}

What is 5/(x-5)+(x+6)/(3x+6) ?
The solution to 5/(x-5)+(x+6)/(3x+6) is (x^2+16x)/(3(x-5)(x+2))