The Panthers extended their winning streak to three with a seven tries to two rout, with five-eighth Jamie Soward having a hand in five of them.
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Penrith opened the scoring through Mansour, whose superman dive beat a watching Ken Sio to Soward's fifth minute dink behind the line.
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Sio wasn't the only one who had a rough start for the visitors. The team's ill-discipline as a whole – they completed just 10 of 18 sets in the first half – gifted the home side three straight sets in the red zone that eventually resulted in a soft, 24th minute try to James Segeyaro that extended the lead to 12.
But it didn't take long for Penrith to post their third try, when Soward's brave chip for Moylan from inside his own half ended in Peachey's mad sprint for the corner and set up a daunting 18-0 deficit for the Eels at half-time.
As expected, Parramatta came out of the sheds like a house on fire, repeatedly forcing Penrith to take the ball from deep inside their territory.
But any hint of a comeback was quickly doused by a 50th minute individual effort from Peachey, whose hit-and-spin on the 40m line was followed by a strong fend, before turning on the afterburners for a highlight-reel worthy four-pointer.
And if the contest wasn't over by then, it was put beyond down when fourth-gamer Isaah Yeo – who was a late replacement for the absent Jamal Idris – crossed for his first career try in the 59th minute.
Parramatta finally got on the scoreboard with two late consolation tries to Pauli Pauli and Corey Norman in the final 10 minutes, but Penrith responded with two of their own to Mansour and Soward that took them past 20,000 points in club history.
Eels prop Mitch Allgood was put on report for a lifting tackle on Mansour in the 72nd minute, while hooker Nathan Peats failed to finish the match after aggravating a knee injury.
Penrith forward Bryce Cartwright, the nephew of club legend John Cartwright, enjoyed a terrific NRL debut for the Panthers with some classy touches.
Penrith Panthers 38 (Peachey 2, Mansour 2, Segeyaro, Yeo, Soward tries; Soward 5 goals) defeated Parramatta Eels 12 (Pauli, Norman tries; Sandow 2 goals) at Sportingbet Stadium. Crowd: 19,141.