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If (x^(3))/((x-a)(x-b)(x-c))=1 +(A)/(x-a...

If `(x^(3))/((x-a)(x-b)(x-c))=1 +(A)/(x-a)+(B)/(x-b)+(C)/(x-c)` then `A=`

A

`(a^(3))/((c-b)(c-a))`

B

`(a^(3))/((b-c)(b-a))`

C

`(a^(3))/((a-b)(a-c))`

D

`(1)/((a-b)(a-c))`

Text Solution

Verified by Experts

The correct Answer is:
C
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