Question

Add the expression. Write the sum in simplest form 3 /x+2 + x+1 / x^2 + 5x + 6

Answer 1

Answer:

Step-by-step explanation:

$\frac{3}{x+2} +\frac{x+1}{x^2+5x+6} \\=\frac{3}{x+2} +\frac{x+1}{x^2+3x+2x+6} \\=\frac{3}{x+2} +\frac{x+1}{x(x+3)+2(x+3)} \\=\frac{3}{x+2} +\frac{x+1}{(x+3)(x+2)} \\=\frac{3(x+3)+x+1}{(x+3)(x+2)} \\=\frac{3x+9+x+1}{(x+3)(x+2)} \\=\frac{4x+10}{(x+3)(x+2)} \\=\frac{4x+10}{x^2+5x+6}$

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

Answer 2

Answer: ?

Step-by-step explanation: