用提公因式法计算:x(x-y)²-y(y-x)²
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 13:09:48
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用提公因式法计算:x(x-y)²-y(y-x)²
用提公因式法计算:x(x-y)²-y(y-x)²
用提公因式法计算:x(x-y)²-y(y-x)²
提公因式法计算:x(x-y)²-y(y-x)²
=x(x-y)²-y(x-y)²
=(x-y)^2(x-y)
=(x-y)^3
因为(x-y)²和(y-x)²是一样的
所以提取公因式(x-y)²
得(x-y)(x-y)²=(x-y)的三次方
=x(x-y)²-y(x-y)²
=(x-y)(x-y)²
=(x-y)3