2 Answers

Multiply both sides on the left by P^(1):
P^(1)A = P^(1)(PBP^(1))
==> P^(1)A = (P^(1) P)BP^(1)
==> P^(1)A = I BP^(1)
==> P^(1)A = BP^(1).
Next, multiply both sides on the right by P:
(P^(1)A) P = (BP^(1)) P
==> P^(1)AP = B (P^(1) P)
==> P^(1)AP = BI
==> P^(1)AP = B.
I hope this helps!

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First right multiply by P: AP = PBP^(1)P = PB Now left multiply by P^(1): P^(1)AP = P^(1)PB = B.