16(3m-2n)²-25(m-n)²用分解因式,

分类: 作业答案 • 2021-12-19 15:51:31

问题描述：

16(3m-2n)²-25(m-n)²
用分解因式,

答

16(3M-2N)^2-25(M-N)^2
=(12M-8N)^2-(5M-5N)^2
=(12M-8N+5M-5N)(12M-8N-5M+5N)
=(17M-13N)(7M-3N)

答

原式=[4(3m-2n)]²-[5(m-n)]²
=(12m-8n)²-(5m-5n)²
=(12m-8n+5m-5n)(12m-8n-5m+5n)
=(17m-13n)(7m-3n)

答

16(3m-2n)²-25(m-n)²
=[4(3m-2n)-5(m-n) ][4(3m-2n)+5(m-n) ]
=[12m-8n-5m+5n ][12m-8n+5m-5n ]
=(7m-3n)(17m-13n)

答

16(3m-2n)²-25(m-n)²=[4(3m-2n)]^2-[5(m-n)]^2=(17m-13n)(7m-3n) [平方差公式】