[(x-y)^7]÷(y-x)³-[4(x-y)²]²
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 05:21:10
![[(x-y)^7]÷(y-x)³-[4(x-y)²]²](/uploads/image/z/5342053-13-3.jpg?t=%5B%28x-y%29%5E7%5D%C3%B7%EF%BC%88y-x%29%26%23179%3B-%5B4%28x-y%29%26%23178%3B%5D%26%23178%3B)
[(x-y)^7]÷(y-x)³-[4(x-y)²]²
[(x-y)^7]÷(y-x)³-[4(x-y)²]²
[(x-y)^7]÷(y-x)³-[4(x-y)²]²
[(x-y)^7]÷(y-x)³-[4(x-y)²]²
=[(x-y)^7]÷[-(x-y)³-16(x-y)^4
=-(x-y)^4-16(x-y)^4
=-17(x-y)^4
原式=(x-y)^7÷[-(x-y)^3]-16(x-y)^^4
=-(x-y)^4-16(x-y)^4
=-15(x-y)^4
(y-x)³=-(x-y)³
则
[(x-y)^7]÷(y-x)³=-(x-y)^4
而[4(x-y)²]²=16(x-y)^4
则[(x-y)^7]÷(y-x)³-[4(x-y)²]²=-(x-y)^4-16(x-y)^4=-17(x-y)^4