因式分解:(3m+2n)^2-25(m-2n)^2

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因式分解:(3m+2n)^2-25(m-2n)^2
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因式分解:(3m+2n)^2-25(m-2n)^2
因式分解:(3m+2n)^2-25(m-2n)^2

因式分解:(3m+2n)^2-25(m-2n)^2
(3m+2n)^2-25(m-2n)^2
=[(3m+2n)+5(m-2n)][(3m+2n)-5(m-2n)]
=(8m-8n)(-2m+12n)
=16(m-n)(-m+6n)

:(3m+2n)^2-25(m-2n)^2
=[﹙3m+2n﹚+5﹙m-2n﹚][﹙3m+2n﹚-5﹙m-2n﹚]
=﹙8m-8n﹚﹙-2m+12n﹚
=-16﹙m-n﹚﹙m-6n﹚