Simplify: fraca2−b2a+b+fracb2−c2b+c+fracc2−a2c+a\\frac{a^2-b^2}{a+b} + \\frac{b^2-c^2}{b+c} + \\frac{c^2-a^2}{c+a}fraca2−b2a+b+fracb2−c2b+c+fracc2−a2c+a (assume all denominators non-zero).
000
a+b+ca+b+ca+b+c
2(a−b+c)2(a-b+c)2(a−b+c)
a−b+ca-b+ca−b+c