It a-b-c-x-b-c-a-y-c-a-b-z- what is the value of 1-1-x-1-1-y-1-1-z -

1+x=1+a/b+c=a+b+c/b+c so 1/1+x=b+c/a+b+c etc ∴ Given expression =b+c/a+b+c+c+a/a+b+c+a+b/a+b+c=2 ( a+b+c )/a+b+c=2 =2 ( a+b+c )/ ( ...

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Multiplication of Rational Expressions

It a/b+c=x,...

Question

It $\frac{a}{b + c} = x, \frac{b}{c + a} = y, \frac{c}{a + b} = z$ , what is the value of $\frac{1}{1 + x} + \frac{1}{1 + y} + \frac{1}{1 + z}$ ?

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