smc

Use the commutative property to get $$\frac{a^2+2ab+b^2-c^2}{a^2+2ac+c^2-b^2}$$ Factor perfect square trinomials to get $$\frac{(a+b{)}^2-c^2}{(a+c{)}^2-b^2}$$ Factor difference of squares to get $$\frac{(a+b+c)(a+b-c)}{(a+b+c)(a-b+c)}$$ Cancel out like terms (with suitable restrictions of a, b, c) to get $$\frac{a+b-c}{a-b+c}$$ The answer is $\boxed{\text{reducible to}\frac{a+b-c}{a-b+c}}$.