对下面的四个式子进行因式分解1.(x+y)(x-y)-(x+y)² 2.x(x-y)-y(y-x) 3.(x-y)²-4b(y-x) 4.a(x-a)(x+y)²-b(x-a)²(x+y)
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 20:41:02
对下面的四个式子进行因式分解1.(x+y)(x-y)-(x+y)² 2.x(x-y)-y(y-x) 3.(x-y)²-4b(y-x) 4.a(x-a)(x+y)²-b(x-a)²(x+y)
对下面的四个式子进行因式分解
1.(x+y)(x-y)-(x+y)²
2.x(x-y)-y(y-x)
3.(x-y)²-4b(y-x)
4.a(x-a)(x+y)²-b(x-a)²(x+y)
对下面的四个式子进行因式分解1.(x+y)(x-y)-(x+y)² 2.x(x-y)-y(y-x) 3.(x-y)²-4b(y-x) 4.a(x-a)(x+y)²-b(x-a)²(x+y)
1.(x+y)(x-y)-(x+y)²=(x+y)[(x-y)-(x+y)]
=-2y(x+y)
2.x(x-y)-y(y-x)
=x(x-y)+y(x-y)
=(x+y)(x-y)
3.(x-y)²-4b(y-x)
=(x-y)²+4b(x-y)
=(x-y)(x-y+4b)
4.a(x-a)(x+y)²-b(x-a)²(x+y)
=(x-a)(x+y)[a(x+y)-b(x-a)]
=(x-a)(x+y)(ax+ay-bx+ab)
如果不懂,请Hi我,祝学习愉快!
1.(x+y)(x-y)- (x+y)²
=(x+y)(x-y-x-y)
=(x+y)(-2y)
=-2y(x+y)
2.x(x-y)-y(y-x)
=(x-y)(x+y)
3.(x-y)²-4b(y-x)
=(x-y)(x-y+4b)
4.a(x-a)(x+y)²-b(x-a)²(x+y)
=(x+y)(x-a)【a(x+y)-b(x-a)】
=(x+y)(x-a)(ax+ay-bx+ab)
1. (-2y).(x+y)
2. .(x+y)(x-y)
3. (x-y)(x-y+4b)
4. (x-a)(x+y)[a(x+y)-b(x-a)]呃。。过程呢??1.(x+y)(x-y)-(x+y)² =(x+y)[(x-y)-(x+y)] =(x+y)(x-y-x-y) =(-2y).(x+y) 2.x(x-y)-y(y-x) ...
全部展开
1. (-2y).(x+y)
2. .(x+y)(x-y)
3. (x-y)(x-y+4b)
4. (x-a)(x+y)[a(x+y)-b(x-a)]
收起