1.

Show that(a+b).(b+c)×(c+a)=2[a b c]

Answer»

Answer:

TAKING L.H.S

(a+B).(b+C).(c+a)

a(b+c)+b(b+c).(c+a)

ab+bc+b^2+bc.(c+a)

c(ab+2bc+b^2)+a(ab+2bc+b^2)

abc+2bc^2+b^2c+a^2b+2abc+ab^2

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