简单数学题,悬赏追加!~因式分解 1. (X+Y)^2-(X-Y)^2 2. 9(M+N)^2-(M-N)^2 3. (M+N)^2-6(M+N)+9 4. 8XY(X-Y)-2(Y-X)^2 5. 2AB-A^2*B^2-1+C^2 6. -5X^3+5X^2+10X 7. 1*2+2*3=2*2^2 , 2*3+3*4=2*3^2 , 3*4+4*5=2*4^2……你能发现什么规律?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 17:28:46
![简单数学题,悬赏追加!~因式分解 1. (X+Y)^2-(X-Y)^2 2. 9(M+N)^2-(M-N)^2 3. (M+N)^2-6(M+N)+9 4. 8XY(X-Y)-2(Y-X)^2 5. 2AB-A^2*B^2-1+C^2 6. -5X^3+5X^2+10X 7. 1*2+2*3=2*2^2 , 2*3+3*4=2*3^2 , 3*4+4*5=2*4^2……你能发现什么规律?](/uploads/image/z/3999078-54-8.jpg?t=%E7%AE%80%E5%8D%95%E6%95%B0%E5%AD%A6%E9%A2%98%2C%E6%82%AC%E8%B5%8F%E8%BF%BD%E5%8A%A0%21%7E%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3+1.+%28X%2BY%29%5E2-%28X-Y%29%5E2+2.+9%28M%2BN%29%5E2-%28M-N%29%5E2+3.+%28M%2BN%29%5E2-6%28M%2BN%29%2B9+4.+8XY%28X-Y%29-2%28Y-X%29%5E2+5.+2AB-A%5E2%2AB%5E2-1%2BC%5E2+6.+-5X%5E3%2B5X%5E2%2B10X+7.+1%2A2%2B2%2A3%3D2%2A2%5E2+%2C+2%2A3%2B3%2A4%3D2%2A3%5E2+%2C+3%2A4%2B4%2A5%3D2%2A4%5E2%E2%80%A6%E2%80%A6%E4%BD%A0%E8%83%BD%E5%8F%91%E7%8E%B0%E4%BB%80%E4%B9%88%E8%A7%84%E5%BE%8B%3F)
简单数学题,悬赏追加!~因式分解 1. (X+Y)^2-(X-Y)^2 2. 9(M+N)^2-(M-N)^2 3. (M+N)^2-6(M+N)+9 4. 8XY(X-Y)-2(Y-X)^2 5. 2AB-A^2*B^2-1+C^2 6. -5X^3+5X^2+10X 7. 1*2+2*3=2*2^2 , 2*3+3*4=2*3^2 , 3*4+4*5=2*4^2……你能发现什么规律?
简单数学题,悬赏追加!~
因式分解
1. (X+Y)^2-(X-Y)^2
2. 9(M+N)^2-(M-N)^2
3. (M+N)^2-6(M+N)+9
4. 8XY(X-Y)-2(Y-X)^2
5. 2AB-A^2*B^2-1+C^2
6. -5X^3+5X^2+10X
7. 1*2+2*3=2*2^2 , 2*3+3*4=2*3^2 , 3*4+4*5=2*4^2……你能发现什么规律?
简单数学题,悬赏追加!~因式分解 1. (X+Y)^2-(X-Y)^2 2. 9(M+N)^2-(M-N)^2 3. (M+N)^2-6(M+N)+9 4. 8XY(X-Y)-2(Y-X)^2 5. 2AB-A^2*B^2-1+C^2 6. -5X^3+5X^2+10X 7. 1*2+2*3=2*2^2 , 2*3+3*4=2*3^2 , 3*4+4*5=2*4^2……你能发现什么规律?
1.(X+Y)^2-(X-Y)^2
=(X+Y+X-Y)(X+Y-X+Y)
=2X*2Y
=4XY
2.9(M+N)^2-(M-N)^2
=(3M+3N+M-N)(3M+3N-M+N)
=(4M+2N)(2M-4N)
=4(2M+N)(M-2N)
3.(M+N)^2-6(M+N)+9
=(M+N)^2-2*3(M+N)+3^2
=(M+N-3)^2
4.8XY(X-Y)-2(Y-X)^2
=-2((Y-X)^2-4XY(X-Y))
=-2(X-Y)(X-Y-4XY)
5.2AB-A^2*B^2-1+C^2
=2AB-(AB)^2-1+C^2
=C^2-((AB)^2-2AB+1)
=C^2-(AB-1)^2
=(C+AB-1)(C-AB+1)
6.-5X^3+5X^2+10X
=-5X(X^2-X-2)
=-5X((X-1/2)^2-9/4)
7.1*2+2*3=2*2^2 ,2*3+3*4=2*3^2 ,3*4+4*5=2*4^2……
规律是:
(n-1)n+n(n+1)=2*n^2
不屑回答,手机党
1: 4xy
2: 4(2m+n)(m+2n)
3: (-3+m+n)^2
4: 2(x-y)(-x+y+4xy)
5: -{(-1+ab-c)(-1+ab+c)}
6: -5(-2+x)x(1+x)
7: (n-1)*n+n*(n+1)+2*n^2
过程就不需要了吧