Example: Subtract and simplify (a-2)/(a+2) - (a-3)/(a²+4a+4).

Problem

Simplify, then subtract the following rational expressions.
You may keep the denominator in its factored form. You may also assume that no denominators equal zero.
start fraction, x, start superscript, 2, end superscript, minus, 14, x, plus, 33, divided by, x, start superscript, 2, end superscript, minus, 6, x, minus, 55, end fraction, minus, start fraction, 5, divided by, 3, x, start superscript, 2, end superscript, plus, 15, x, end fraction, equals