anonymous
  • anonymous
for all real numbers A and B, if A @ B = a(a-b), then A @ (A@B) =
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
my answer say it wrong i put a^3-a^2b but it say wrong. can help me?
anonymous
  • anonymous
a @ (a @ b) = a(a - (a @ b) ) = a(a - a(a-b))
anonymous
  • anonymous
which equals -a^3 + a^2b + a^2

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anonymous
  • anonymous
why is a(a-(a-b)? why not a(a(a-b)) ??
anonymous
  • anonymous
A = a B = (a-b) ?
anonymous
  • anonymous
let c = a@b, then what does a@c equal according to the definition of @?
anonymous
  • anonymous
a(a-b) ?
anonymous
  • anonymous
a@c = a(a - c)
anonymous
  • anonymous
ooh! ok salamat
anonymous
  • anonymous
but c = a@b, so c = a(a-b). Substitute and you'll see

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