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apple_pi
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\[\sqrt{(ap^2a)^2+4a^2p^2}=a(p^2+1)\]

lgbasallote
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i'll take the LHS...
factor out first
\[\implies \sqrt{(ap^2  a)^2 +(2ap)^2}\]
right?

apple_pi
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yes

lgbasallote
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okay @mathslover can continue

mathslover
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dw:1347445260833:dw

mathslover
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right?

lgbasallote
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....

mathslover
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I am just proving an identity that will help you to prove this. applepie do reply

apple_pi
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yeah

mathslover
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ok thanks so we have now
dw:1347445472761:dw

mathslover
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M i right?

apple_pi
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yeah

mathslover
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Ok so can you use this identity in this question?

mathslover
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dw:1347445610483:dw

apple_pi
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ok, so LHS comes down to a(p^21) which equals RHS. Thank you

mathslover
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+ ????? ...

apple_pi
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^ a(p^2+1)

mathslover
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yep