SSLC Mathematics Work Book 2012 by Chitradurga Maths Teachers Association

(7)

(2bc + a2 - b2 - c2) (2bc - a2 + b2 + c2) = 16S (S-a) (S-b) (S-c) LHS

= (2bc + a2 - b2 - c2) (2bc - a2 + b2 + c2) = [a2 - b2 - c2 + 2bc] [b2 + c2 + 2bc - a2] = [a2 - (b2 + c2 - 2bc)] [b2 + c2 + 2bc - a2] = [a2 - (....................)2] [(....................)2 - a2] = (..................)(..................) (..................)(..................) = ............................................................. = ............................................................. = ............................................................. = ............................................................. = ............................................................. = .............................................................

(8)

(2ab + c2 - a2 - b2) (2a - c2 + a2 + b2) = 16S (S-a) (S-b) (S-c)

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