Question

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

Answer 1

show work please

Answer 2

combine like terms
a start is
\[\frac{1}{x^2}+\frac{2}{x^2}=\frac{3}{x^2}\]

Answer 3

\[(\frac{2}{x^2}+8x+15)+(\frac{1}{x^2}+11x+30)\]
\[\frac{3}{x^2}+19x+45\]
Multiply all terms by the LCD and use the LCD as denominator
\[\frac{3+19x^3+45x^2}{x^2}\]