4(ab+cd)²-(a²+b²-c²-d²)²16+24(a-b)+9(a-b)²

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/06 06:51:19

4(ab+cd)²-(a²+b²-c²-d²)²
16+24(a-b)+9(a-b)²

4(ab+cd)²-(a²+b²-c²-d²)²
=2²(ab+cd)²-(a²+b²-c²-d²)²
=<2(ab+cd)+(a²+b²-c²-d²)><2(ab+cd)-(a²+b²-c²-d²)>
=
=(a+b+c-d)(a+b-c+d)(c+d+a-b)(c+d-a+b)
16+24(a-b)+9(a-b)²
=4²+2*4*3(a-b)+3²(a-b)²