Rút gọn phân thức: \[\frac{{{a^2} + {b^2} - {c^2} + 2ab}}{{{a^2} - {b^2} + {c^2} + 2ac}}\].

\[\frac{{{a^2} + {b^2} - {c^2} + 2ab}}{{{a^2} - {b^2} + {c^2} + 2ac}}\]

\[ = \frac{{{{\left( {a + b} \right)}^2} - {c^2}}}{{{{\left( {a + c} \right)}^2} - {b^2}}}\]

\[ = \frac{{\left( {a + b - c} \right)\left( {a + b + c} \right)}}{{\left( {a + c - b} \right)\left( {a + c + b} \right)}}\]

\[ = \frac{{a + b - c}}{{a + c - b}}\].