simplify (1/x^a-b)^a+b(1/x^b+a) ^b-a
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Answer:
1
Step-by-step explanation:
write the expression in exponential form with base x
= x^-(a-b)×(a+b)× x^-(b+a)×(b-a)
Use (a-b)(a+b)= a^2-b^2 to simplify the product
=x^-(a^2-b^2) × x^-(b^2-a^2)
=x^-a^2+b^2 × x^-b^2+a^2
calculate the product
=1
by simplifying the expression,we get 1 as an answer
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