分解因式:25(x+y)平方-16(x-y)平方

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/02 13:42:19
分解因式:25(x+y)平方-16(x-y)平方
x){b⧳<~,#{:*+5lN]C3 ]&H4 v6damQ~Owf=& ^D)Hi%0ITj"zAB@!ZK`-yvPGڀ9F@.XsPG\&m ݢ r6wP H>ݾ`<ٱ Hzl ts#

分解因式:25(x+y)平方-16(x-y)平方
分解因式:25(x+y)平方-16(x-y)平方

分解因式:25(x+y)平方-16(x-y)平方
=[5(x+y)]²-[4(x-y)]²
=(5x+5y+4x-4y)(5x+5y-4x+4y)
=(9x+y)(x+9y)

25(x+y)²-16(x-y)²
=[5(x+y)]²-[4(x-y)]²
=[5(x+y)+4(x-y)][5(x+y)-4(x-y)]
=(9x+y)(x+9y)

[5(x+y)+4(x-y)][5(x+y)-4(x-y)]
=(9x+y)(x+9y)

平方差,分为(9x+y)(x+9y)=0