初二上数学,几道因式分解题,要有详细的解题过程(1)a²(a-b)+b²(b-a)(2)(x-1)(x-3)+1(3)(x+y)²-4(x+y-1)(4)ax-bx+ay-by

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初二上数学,几道因式分解题,要有详细的解题过程(1)a²(a-b)+b²(b-a)(2)(x-1)(x-3)+1(3)(x+y)²-4(x+y-1)(4)ax-bx+ay-by
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初二上数学,几道因式分解题,要有详细的解题过程(1)a²(a-b)+b²(b-a)(2)(x-1)(x-3)+1(3)(x+y)²-4(x+y-1)(4)ax-bx+ay-by
初二上数学,几道因式分解题,要有详细的解题过程
(1)a²(a-b)+b²(b-a)
(2)(x-1)(x-3)+1
(3)(x+y)²-4(x+y-1)
(4)ax-bx+ay-by

初二上数学,几道因式分解题,要有详细的解题过程(1)a²(a-b)+b²(b-a)(2)(x-1)(x-3)+1(3)(x+y)²-4(x+y-1)(4)ax-bx+ay-by
(1)a²(a-b)+b²(b-a)
=(a-b)(a²-b²)
=(a-b)²(a+b)
2)(x-1)(x-3)+1
=x²-4x+3+1
=x²-4x+4
=(x-2)²
3)(x+y)²-4(x+y-1)
=(x+y)²-4(x+y)+4
=(x+y-2)²
4)ax-bx+ay-by
=x(a-b)+y(a-b)
=(a-b)(x+y)