[(x-y)^7]÷（y-x)³-[4(x-y)²]²

来源：学生作业帮助网编辑：六六作业网时间：2025/02/07 01:41:24

[(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)&

[(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