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分解因式(1) 5x²+6x-8 (2) 15x²+x-2 (3)a²b²-7a

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/11/08 00:05:07
分解因式(1) 5x²+6x-8 (2) 15x²+x-2 (3)a²b²-7ab+12 (4)7x²-19x-6
(5)4x²+15x+9 (6)x²-6xy+8y² (7) 7(x+y)³-5(x+y)²-2(x+y) (8) x²-2xy+y²-5x+5y-6
(1) 5x^2+6x-8=(5x-4)*(x+2)
(2) 15x^2+x-2=(3x-1)(5x+2)
(3) a^2b^2-7ab+12=(ab-3)(ab-4)
(4) 7x^2-19x-6=(7x+2)(x-3)
(5) 4x^2+15x+9=(4x+3)(x+3)
(6) x^2-6xy+8y^2=(x-2y)(x-4y)
(7) 7(x+y)^3-5(x+y)^2-2(x+y)
=(x+y)[7(x+y)^2-5(x+y)-2]
=(x+y)(7x+7y+2)(x+y-1)
(8) x^2-2xy+y^2-5x+5y-6
=(x^2-2xy+y^2)-5(x-y)-6
=(x-y)^2-5(x-y)-6
=(x-y-6)(x-y+1)