Question

simplify 2/x^2+8x+15 + 1/x^2+11x+30

Answer 1

do you know how to factorise

Answer 2

you can 1st factorise the denominators find your common denominator and then add

Answer 3

\[\frac{2}{x^{2}+8x+15} + \frac{1}{x^{2}+11x+30}\]
\[=\frac{2}{(x+3)(x+5)} + \frac{1}{(x+6)(x+5)}\]
\[=\frac{2(x+6)}{(x+6)(x+3)(x+5)} + \frac{(x+3)}{(x+6)(x+3)(x+5)}\]
\[=\frac{2(x+6) +(x+3)}{(x+6)(x+3)(x+5)}\]
\[=\frac{3x+15}{(x+6)(x+3)(x+5)}\]
\[=\frac{3(x+5)}{(x+6)(x+3)(x+5)}\]
\[=\frac{3}{(x+6)(x+3)}\]