4p^2-m^2+2mn-n^2/2p+m-n
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4p²-m²+2mn-n² / 2p+m-n
= (2p)²-[m²-2mn+n²] / 2p+(m-n)
= (2p)²-(m-n)² / 2p+(m-n)
= (2p+m-n)(2p-m+n) / 2p+(m-n) [∵ a²-b²=(a+b)(a-b)]
= 2p-m+n
hope it helps
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