Question

simplify [1/(a-b)(a-c)]+[1/(b-c)(b-a)]+[1/(c-a)(b-c)

Answer 1

$\frac{1}{(a - b) \times (a - c)} \times \frac{(b - c)}{(b - c)} \: \: \: + \: \: \: \frac{1}{(b - c) \times (b - a)} \times \frac{(a - c)}{a - c} \: \: \: + \: \: \frac{1}{(c - a) \times(b - c)} \times \frac{(a - b)}{(a - b)}$
[(b-c) - (a-b) - (a-c)]/[(a-b)(b-c)(c-a)]

$\frac{ - 3a - 2c}{(a - b)(b - c)(c - a)}$
Is the answer.