anonymous
  • anonymous
Prove:
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[\sqrt{(ap^2-a)^2+4a^2p^2}=a(p^2+1)\]
lgbasallote
  • lgbasallote
i'll take the LHS... factor out first \[\implies \sqrt{(ap^2 - a)^2 +(2ap)^2}\] right?
anonymous
  • anonymous
yes

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lgbasallote
  • lgbasallote
okay @mathslover can continue
mathslover
  • mathslover
|dw:1347445260833:dw|
mathslover
  • mathslover
right?
lgbasallote
  • lgbasallote
....
mathslover
  • mathslover
I am just proving an identity that will help you to prove this. apple-pie do reply
anonymous
  • anonymous
yeah
mathslover
  • mathslover
ok thanks so we have now |dw:1347445472761:dw|
mathslover
  • mathslover
M i right?
anonymous
  • anonymous
yeah
mathslover
  • mathslover
Ok so can you use this identity in this question?
mathslover
  • mathslover
|dw:1347445610483:dw|
anonymous
  • anonymous
ok, so LHS comes down to a(p^2-1) which equals RHS. Thank you
mathslover
  • mathslover
+ ????? ...
anonymous
  • anonymous
^ a(p^2+1)
mathslover
  • mathslover
yep

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