13问答网 > 因式分解（X^2+4X）^2-X^2-4X-20.(M^2-2M)^2-2M^2+4M-3.1-2M-2N-3M^2-6MN-3N^2.6-5X+5Y+X^2-2XY+Y^2

因式分解（X^2+4X）^2-X^2-4X-20.(M^2-2M)^2-2M^2+4M-3.1-2M-2N-3M^2-6MN-3N^2.6-5X+5Y+X^2-2XY+Y^2

2025-04-30 05:14:34

推荐回答（1个）

回答1：

(1)（X^2+4X）^2-X^2-4X-20 =（X^2+4X）^2-(X^2+4X)-20 =（X^2+4X-5）（X^2+4X+4） =(X+5)(X-1)(X+2)^2 (2)(M^2-2M)^2-2M^2+4M-3 =(M^2-2M)^2-2(M^2-2M)-3 =(M^2-2M-3)(M^2-2M+1) =(M-3)(M+1)(M-1)^2 (3)1-2M-2N-3M^2-6MN-3N^2 =1-2(M+N)-3(M^2+2MN+N^2) =1-2(M+N)-3(M+N)^2 =[1+(M+N)][1-3(M+N)] =(1+M+N)(1-3M-3N) (4)6-5X+5Y+X^2-2XY+Y^2 =6-5(X-Y)+(X-Y)^2 =[2-(X-Y)][3-(X-Y)] =(2-X+Y)(3-X+Y)

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