(X+Z)(X-Z)+x(X+2Y)怎么解?

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/19 17:41:39

方程写完了吗,没有有等于号的话此方程有无数个解
再问：不好意思。题出错了。是(y+z)(y-z)+x(x+2y)是这个。怎么解？按你的方法能得到（x-y-z)(x-y+z)
再答：用平方差公式算出（y+z）（y-z）=y²-z² 然后把x（x+2y）去括号得x²+2xy (y+z)(y-z)+x(x+2y)就等于 =y²-z²+x²+2xy =x²+2xy+y²-z² =（x+y）²-z² 然后用平方差的逆定理a²-b²=（a+b）（a-b） =（x+y+z）（x+y-z）懂了吗答案不是（x-y-z)(x-y+z)

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