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分解因式:(2a-b)²+2a-b 2(x-1)²-x+1 9(x+y)²-4(x-y)&

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/09/20 06:24:22
分解因式:(2a-b)²+2a-b 2(x-1)²-x+1 9(x+y)²-4(x-y)²
还有 (x+y)²-4(x+y-1) 4x²-25 -x²+2x-1 这些
分解因式:(2a-b)²+2a-b 2(x-1)²-x+1 9(x+y)²-4(x-y)&
(2a-b)²+2a-b
=(2a-b)[(2a-b)+1]
=(2a-b)(2a-b+1)
2(x-1)²-x+1
=2(x-1) ²-(x-1)
=(x-1)[2(x-1)-1]
=(x-1)(2x-2-1)
=(x-1)(2x-3)
9(x+y)²-4(x-y)²
=[3(x+y)+2(x-y)][3(x+y)-2(x-y)]
=(3x+3y+2x-2y)(3x+3y-2x+2y)
=(5x+y)(x+5y)
(x+y)²-4(x+y-1)
=(x+y)²-4(x+y)+4
=[(x+y)-2]²
=(x+y-2)²
4x²-25
=(2x+5)(2x-5)
-x²+2x-1
=-(x²-2x+1)
=-(x-1)²
再问: 还有两题帮忙解一下 x的三次方-x²-4x+4 16+8xy-16x²-y²
再答: x³-x²-4x+4
=x²(x-1)-4(x-1)
=(x-1)(x²-4)
=(x-1)(x+2)(x-2)

16+8xy-16x²-y²
=16-(16x²-8xy+y²)
=16-(4x-y)²
=(4+4x-y)(4-4x+y)