作业帮[(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：2024/11/29 09:00:12
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[(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