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(1/(x)^(a-b))^(1/a-c)*(1/(x)^(b-c))^(1/b-a)*(1/(x)^(c-a))^(1/c-b) = 1
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Question from IX Class Maths R.D. Sharma Page number 2.25.
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Answer:
1/(1+x^(b-a)+x^(c-a))+1/(1+x^(c-b)+x^(a-b))+1/(1+x^(a-c)+x^(b-c))
solution:
=1/(1+x^b/x^a+x^c/x^a))+1/(1+x^c/x^b+x^
a/x^b))+1/(1+x^a/x^c+x^b/x^c))
=1/((x^a+x^b+x^c)/x^a)+1/((x^b+x^c+x^a)
/x^b)+1/((x^c+x^a+x^b)/x^c)
=x^a/(x^a+x^b+x^c)+x^b/(x^a+x^b+x^c)
+x^c/(x^a+x^b+x^c)
=(x^a+x^b+x^c)/(x^a+x^b+x^c)
Step-by-step explanation:
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