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Factorisation by Common Factors

26. Factorise...

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26. Factorise a+ b +c+ ab +bc +ca+1 abc

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1 + a + b + c + a b + b c + a c + a b c

a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a) :

$\frac{x}{a} + \frac{x}{b} + \frac{x}{c} = 1. F i n d t h e v a l u e o f x .$

Factorise $b^{2} + c^{2} + 2 b c - a^{2}$

a, b, c

are real numbers such that

\frac{a b}{a + b} = \frac{1}{3}, \frac{b c}{b + c} = \frac{1}{4}

\frac{c a}{c + a} = \frac{1}{5}

, then the value of

\frac{a b c}{a b + b c + c a}

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