Question

If a + 2b + 3c = 4, where a, b, c E R+ and the
greatest value of (abc) is M, then the value of 8
M
is :​

Answer 1

Answer:

a.{ b× a + 2 b×b + 3 b×c + c×a + 2c×b + 3 c×c)

a.{ b×a + 3 b×c + c× a - 2 b×c )

a. ( b× a + c× a + b× c)

a.( b×a) + a.( c×a) + a.( b×c)

As a.( b×a) and a.( c×a) =0

So a .( b×c) = [ a b c]