（1）.-6x^2+12x-6(2).x^4+6x^2+9(3).a^2(a-b)+2ab(a-b)+b^2(a-b)(4).(x+y+1)^2-(x-y+1)^2多项式因式分解

Question

（1）.-6x^2+12x-6 (2).x^4+6x^2+9 (3).a^2(a-b)+2ab(a-b)+b^2(a-b) (4).(x+y+1)^2-(x-y+1)^2
多项式因式分解

Answer 1

（1）.-6x^2+12x-6
=-6(x²-2x+1)
=-6（x-1）²
(2).x^4+6x^2+9
=(x²+3)²
(3).a^2(a-b)+2ab(a-b)+b^2(a-b)
=(a-b)(a²+2ab+b²)
=(a-b)(a+b)²
(4).(x+y+1)^2-(x-y+1)^2
=(x+y+1+x-y+1)(x+y+1-x+y-1)
=2y(2x+2)
=4y(x+1)
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