因式分解 (m+n)²/2-(m-n)²/2
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因式分解 (m+n)²/2-(m-n)²/2
因式分解 (m+n)²/2-(m-n)²/2
因式分解 (m+n)²/2-(m-n)²/2
=(m+n+m-n)(m+n-m+n)/2=2mn
原式=1/2[﹙m+n﹚²-﹙m-n﹚²]
=1/2[﹙m+n-m+n﹚﹙m+n+m-n﹚]
=1/2﹙2n·2m﹚
=2mn.
(m+n)²/2-(m-n)²/2
=【(m+n)²-(m-n)²】/2
=【m²+2mn+n²-m²+2mn-n²】/2
=4mn/2
=2mn