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

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

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

simplify

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

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

Solution steps

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

Cancel

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

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

Simplify

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

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

Simplify

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

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

(5 + 4 i) + (- 6 - 3 i)

x^{4} + 8 x^{2} + 16

(s - t) (\frac{s}{t})

\frac{4}{y + 4} - \frac{3}{y - 4}

(r + 4)^{3}

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