Add and subtract rational expressions with relatively prime denominators by manipulating them to have the same denominators.

Problem

Add the following rational expressions.
start fraction, 3, x, start superscript, 2, end superscript, divided by, x, plus, 11, end fraction, plus, start fraction, minus, 1, divided by, 2, x, start superscript, 3, end superscript, end fraction, equals