解决一下数学题分解因式1.1/2p^2-2pq2.-3x+6x^2-3x^33.a^2(a-3)-a+34.2xy-x^2-y^2+1必须要全过程

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解决一下数学题分解因式1.1/2p^2-2pq2.-3x+6x^2-3x^33.a^2(a-3)-a+34.2xy-x^2-y^2+1必须要全过程
解决一下数学题
分解因式
1.1/2p^2-2pq
2.-3x+6x^2-3x^3
3.a^2(a-3)-a+3
4.2xy-x^2-y^2+1
必须要全过程

解决一下数学题分解因式1.1/2p^2-2pq2.-3x+6x^2-3x^33.a^2(a-3)-a+34.2xy-x^2-y^2+1必须要全过程
1.1/2p^2-2pq
=p(p/2-2q)
2.-3x+6x^2-3x^3
=-3x(x^2+2x+1)
=-3x(x+1)^2
3.a^2(a-3)-a+3
=a^2(a-3)-(a-3)
=(a^2-1)(a-3)
=(a+1)(a-1)(a-3)
4.2xy-x^2-y^2+1
=-(x^2-2xy+y^2)+1
=1-(x-y)^2
=(1-x+y)(1+x-y)

1.1/2p^2-2pq
=1/2p(p-4q)
2.-3x+6x^2-3x^3
=-3x(1-2x+x^2)
=-3x(x-1)^2
3.a^2(a-3)-a+3
=a^2(a-3)-(a-3)
=(a-3)(a^2-1)
=(a-3)(a+1)(a-1)
4.2xy-x^2-y^2+1
=-(x^2+y^2-2xy)+1
=-(x-y)^2+1
=1-(x-y)^2
=(1-x+y)(1+x-y)
OK

1.1/2p^2-2pq
=p(p/2-2q)
=1/2p(p-4q)
2.-3x+6x^2-3x^3
=-3x(x^2-2x+1)
=-3x(x-1)^2
3.a^2(a-3)-a+3
=a^2(a-3)-(a-3)
=(a^2-1)(a-3)
=(a+1)(a-1)(a-3)
4.2xy-x^2-y^2+1
=-(x^2-2xy+y^2)+1
=1-(x-y)^2
=(1-x+y)(1+x-y)