四道简单的初二数学因式分解题 求过程和答案

Question

（1）（2X+Y)的二次方-（X+2y)的二次方（2）（4X乘以Y的二次方）-（4乘以X的二次方乘以Y）-Y的三次方（3）(a-b)(x-y)-(b-a)(x+y)(4)（6x乘以y的二次方）-（9乘以x的二次方乘以y）-y的三次方要过程和答案 直接给答案的不算

Answer 1

(1)解：原式=（2X+Y+X+2Y)(2X+Y-X-2Y) =(3X+3Y)(X-Y) =3(X+Y)(X-Y)(2)解：（4X×Y�0�5)-(4×X�0�5×Y)-Y�0�6 =4XY�0�5-4X�0�5Y-Y�0�6 =Y(4XY-4X�0�5-Y�0�5) =-Y(2X-Y)�0�5(3)解：原式=（a-b)(x-y)+(a-b)(x+y) =(a-b)(x-y+x+y) =2x(a-b)(4)解：(6x×y�0�5)-(9×x�0�5×y)-y�0�6 =6xy�0�5-9x�0�5y-y�0�6 =y(6xy-9x�0�5-y�0�5) =-y(3x-y)�0�5

Answer 2

1、(2x+y)�0�5-(x+2y)�0�5=[(2x+y)+(x+2y)][(2x+y)-(x+2y)]=(3x+3y)(x-y)=3(x+y)(x-y)2、4xy�0�5-4x�0�5y-y�0�6=-y(4x�0�5-4xy+y�0�5)=-y(2x-y)�0�53、(a-b)(x-y)-(b-a)(x+y)=(a-b)(x-y)+(a-b)(x+y)=(a-b)[(x-y)+(x+y)]=2x(a-b)4、6xy�0�5-9x�0�5y-y�0�6=-y（9x�0�5-6xy+y�0�5）=-y(3x-y)�0�5

Answer 3

(1) (2X+Y)�0�5-（X+2Y)�0�5=4X�0�5+4XY+Y�0�5-X�0�5-4XY-4Y�0�5=3X�0�5-3Y�0�5（2）你没表达清楚自己的意思 ，或者说我没看懂你要表达什么意思 （3） (a-b)(x-y)-(b-a)(x+y)=ax-ay-bx+by-bx-by+ax+ay=2ax-2bx (4)…… 你还是跟（3）那样把题写出来吧