show that ( x ^ 1 / a -b )^1a-c.(x^1/b-c^)^1/b-a(x^1/c-a)^1/c-b=1 where a is not equal to b is not equal to c .
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Step-by-step explanation:
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=(x)^1/(a-b)(a-c)* (x)^1/(b-c)(b-a)* (x)^1/(c-a)(c-b)
=(x)^1/(a-b)(a-c)+1/(b-c)(b-a)+1/(c-a)(c-b)
=(x)^1/(a-b)(a-c)+1/(b-c)+(1/(b-a)-1/(c-a))
=x^1/(a-b)(a-c)+1/(b-c) (c-a+a-b/(b-a)(c-a))
=x^1/(a-b)(a-c)+1/(c-b)/(b-c)(b-a)(c-a)
=x^1/(a-b)(a-c)+1/(b-a)(c-a)
=x^1/(a-b) (c-a+a-c/(c-a))
=0/x^a-b=1
Unless x=0
Hope it helps uh!!..
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