Surds and Indices Practice Test 1

Question : 1 of 40

Marks: +1, -0

1/{1+x^{b-a}+x^{c-a}}+1/{1+x^{a-b}+x^{c-b}}+1/{1+x^{b-c}+x^{a-c}}=?

Solution:

1/{1+x^{b-a}+x^{c-a}}+1/{1+x^{a-b}+x^{c-b}}+1/{1+x^{b-c}+x^{a-c}}

=1/{1+x^{b }/x^{a}+x^{c }/x^{a}}+1/{1+x^{a }/x^{b }+x^{c }/x^{b }}+1/{1+x^{b }/x^{c }+x^{a }/x^{c }}

={x^a+x^b+x^x}/{x^a+x^b+x^x}=1

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