已知(x+y)2 =2,(x-y)3 =3,求(x+y)7(x-y)2(x+y)3(y-x)4 的值

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/05 16:29:41

已知(x+y)2 =2,(x-y)3 =3,求(x+y)7(x-y)2(x+y)3(y-x)4 的值
已知(x+y)2 =2,(x-y)3 =3,求(x+y)7(x-y)2(x+y)3(y-x)4 的值

已知(x+y)2 =2,(x-y)3 =3,求(x+y)7(x-y)2(x+y)3(y-x)4 的值
原式=(x+y)^10·(x-y)^6=2^5·3^2=288.

(x+y)7(x-y)2(x+y)3(y-x)4=(x+y)^10(x-y)^6
=[(x+y)^2]^5*[(x-y)^3]^2
=2^5*3^2
=288

原式=(x+y)^10·(x-y)^6=2^5·3^2=288.