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CBSE Class 11-science Answered

If a, b, c are in arithmetic progression then prove that ( a+2b-c)(2b+c-a)(c+a-b) = 4abc.
Asked by rushabhjain.avv | 19 Nov, 2018, 21:37: PM
answered-by-expert Expert Answer
since a, b and c are in A.P., 2b = (a+c)
 
LHS = (a+2b-c)(2b+c-a)(c+a-b) = (2a)(2c)(b) = 4(abc) = RHS
Answered by Thiyagarajan K | 19 Nov, 2018, 22:54: PM

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