几道因式分解的题,麻烦大家了,

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几道因式分解的题,麻烦大家了,

几道因式分解的题,麻烦大家了,
几道因式分解的题,麻烦大家了,

几道因式分解的题,麻烦大家了,
1.x³ -4xy²-2x²y+8y³
=(x³+8y³)-2xy(x+2y)
=(x+2y)(x²-2xy+4y²)-2xy(x+2y)
=(x+2y)(x²-2xy+4y²-2xy)
=(x+2y)(x-2y)²
2.2a²b²-7ab+6
=.(ab-2)(2ab-3)
十字相乘
2ab ﹣3
×
ab ﹣2
3.2xy-x²-y²+1
=1-(x²-2xy+y²)
=1-(x-y)²
=(1+x-y)(1-x+y)
4.4x²-9y²-24yz-16z²
=(2x+3y)(2x-3y)-24yz-16z²
=(2x+3y+4z)(2x-3y-4z)
十字相乘
2x+3y 4z
×
2x-3y ﹣4z
5.(a+b)(a-b)+c(2b-c)
=a²-b²+2bc-c²
=a²-(b²-2bc+c²)
=a²-(b-c)²
=(a+b-c)(a-b+c)
6.x³+5x-6
=(x³-x)+(6x-6)
=x(x²-1)+6(x-1)
=x(x+1)(x-1)+6(x-1)
=(x-1)(x²+x+6)
不懂的还可以问!满意请及时采纳! O(∩_∩)O