帮忙解几道因式分解

来源：百度知道 编辑：UC知道 时间：2024/05/27 04:35:37
1.M^2(M-1)-4(1-M)^2

2.49(2m-2x)^2-9(m+x)^2

3.(3x+4y)-(4y-3x)^2

4.(x-2)(x-4)+1

最好有一点过程

1.M^2(M-1)-4(1-M)^2
=(M-1)[M^2-4(M-1)]
=(M-1)(M^2-4M+4)
=(M-1)(M+2)^2

2.49(2m-2x)^2-9(m+x)^2
=[7(2m-2x)+3(m+x)][7(2m-2x)-3(m+x)]
=(17m-11x)(11m-17x)

3.(3x+4y)^2-(4y-3x)^2
=[(3x+4y)+(4y-3x)][(3x+4y)-(4y-3x)]
=8y*6x
=48xy

4.(x-2)(x-4)+1
=x^2-6x+8+1
=x^2-6x+9
=(x-3)^2

1.M^2(M-1)-4(1-M)^2
=(m-1)(m^2-4m+4)
=(m-1(m-2)^2

2.49(2m-2x)^2-9(m+x)^2
=(14m-14x)^2-(3m+3x)^2
=(17m-11x)(11m-17x)

3.(3x+4y)-(4y-3x)^2
=(3x+4y+4y-3x)(3x+4y-4y+3x)
=8y*6x
=48xy

4.(x-2)(x-4)+1
=x^2-6x+8+1
=(x-3)^2

1,(M-1)*(M-2)^2
2,(17*x-11*m)*(11*x-17*m)
3.无解
如果是：(3*x+4*y)^2-(4*y-3*x)^2
则ans =48*x*y
4，(x-3)^2