题目内容
下列各式分解因式正确的是
- A.(x-y)2-(x-y)=(x-y)(x-y)2
- B.(x-y)2-(x-y)=(x-y)(x-y)=(x-y)2
- C.(x-y)2-(y-x)=(x-y)2-(x-y)=(x-y)(x-y-1)
- D.(x-y)2-(y-x)=(x-y)2+(x-y)=(x-y)(x-y+1)
D
A式(x-y)2-(x-y)=(x-y)(x-y-1)≠(x-y)(x-y)2.故A是错误的;B式中第二项提出公因式x-y后漏掉了“1”;C式中x-y与y-x只差一个符号,分解时没变换符号,应为(x-y)2-(y-x)=(x-y)2+(x-y)=(x-y)(x-y+1).故选D.
A式(x-y)2-(x-y)=(x-y)(x-y-1)≠(x-y)(x-y)2.故A是错误的;B式中第二项提出公因式x-y后漏掉了“1”;C式中x-y与y-x只差一个符号,分解时没变换符号,应为(x-y)2-(y-x)=(x-y)2+(x-y)=(x-y)(x-y+1).故选D.
练习册系列答案
相关题目
下列各式分解因式正确的是( )
A、2(m-n)2-6(n-m)3=2(m-n)2(1-3m-3n) | ||||||
B、-m4-n4=-(m2+n2)(m+n)(m-n) | ||||||
C、x2-
| ||||||
D、m4-2m2n2+n4=(m+n)2(m-n)2 |
下列各式分解因式正确的是( )
A、-m2-n2=-(m-n)(m+n) | ||||
B、x2-x+
| ||||
C、y3-y=y(y2-1) | ||||
D、x2-2x+3=(x-1)2+2 |
下列各式分解因式正确的是( )
A、x2-y2=(x-y)2 | ||||
B、x2+4y2=(x+2y)2 | ||||
C、
| ||||
D、x2-3x+9=(x-3)2 |