化解（x-y）∧2n-2（y-x）∧2n-1+2(y-x)∧2n-(x-y)∧2n-1

来源：学生作业帮助网编辑：作业帮时间：2024/05/05 14:51:33

化解（x-y）∧2n-2（y-x）∧2n-1+2(y-x)∧2n-(x-y)∧2n-1
化解（x-y）∧2n-2（y-x）∧2n-1+2(y-x)∧2n-(x-y)∧2n-1

化解（x-y）∧2n-2（y-x）∧2n-1+2(y-x)∧2n-(x-y)∧2n-1
（x-y）^(2n)-2（y-x）^(2n-1)+2(y-x)^(2n)-(x-y)^(2n-1)
=（x-y）^(2n)-2（y-x）^(2n)/(y-x)+2(x-y)^(2n)-(x-y)^(2n)/(x-y)
=（x-y）^(2n)-2（x-y）^(2n)/(y-x)+2(x-y)^(2n)-(x-y)^(2n)/(x-y)
=（x-y）^(2n)+2（x-y）^(2n)/(x-y)+2(x-y)^(2n)-(x-y)^(2n)/(x-y)
=（x-y）^(2n))+2(x-y)^(2n)+2（x-y）^(2n)/(x-y)-(x-y)^(2n)/(x-y)
=3(x-y)^(2n)+(x-y)^(2n)/(x-y)
=(x-y)^(2n)*[3+1/(x-y)]
=(x-y)^(2n-1)*(3x-3y+1)