Example: Add and simplify x/(2x+1)(x-7) + 2x²/(2x-3)(x-7).

Problem

Add the following rational expressions.
Keep the denominator in your answer in its factored form.
start fraction, 8, divided by, left parenthesis, 4, x, plus, 7, right parenthesis, left parenthesis, x, plus, 8, right parenthesis, end fraction, plus, start fraction, minus, 2, x, divided by, left parenthesis, 2, x, plus, 1, right parenthesis, left parenthesis, x, plus, 8, right parenthesis, end fraction, equals