因式分解:(1)-3x3+6x2y-3xy2(2)x4-9x2(3)(a-2b)2-25b2(4)(m2-1)2+6(1
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因式分解:
(1)-3x3+6x2y-3xy2
(2)x4-9x2
(3)(a-2b)2-25b2
(4)(m2-1)2+6(1-m2)+9.
(1)-3x3+6x2y-3xy2
(2)x4-9x2
(3)(a-2b)2-25b2
(4)(m2-1)2+6(1-m2)+9.
![因式分解:(1)-3x3+6x2y-3xy2(2)x4-9x2(3)(a-2b)2-25b2(4)(m2-1)2+6(1](/uploads/image/z/16677453-21-3.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%881%EF%BC%89-3x3%2B6x2y-3xy2%EF%BC%882%EF%BC%89x4-9x2%EF%BC%883%EF%BC%89%EF%BC%88a-2b%EF%BC%892-25b2%EF%BC%884%EF%BC%89%EF%BC%88m2-1%EF%BC%892%2B6%EF%BC%881)
(1)-3x3+6x2y-3xy2
=-3x(x2-2xy+y2)
=-3x(x-y)2;
(2)x4-9x2
=x2(x2-9)
=x2(x+3)(x-3);
(3)(a-2b)2-25b2
=(a-2b+5b)(a-2b-5b)
=(a+3b)(a-7b);
(4)(m2-1)2+6(1-m2)+9
=(m2-1)2-6(m2-1)+9
=(m2-1-3)2
=(m2-4)2
=(m+2)2(m-2)2.
=-3x(x2-2xy+y2)
=-3x(x-y)2;
(2)x4-9x2
=x2(x2-9)
=x2(x+3)(x-3);
(3)(a-2b)2-25b2
=(a-2b+5b)(a-2b-5b)
=(a+3b)(a-7b);
(4)(m2-1)2+6(1-m2)+9
=(m2-1)2-6(m2-1)+9
=(m2-1-3)2
=(m2-4)2
=(m+2)2(m-2)2.
4x2y-{x2y-「3xy2 – 1/ 2(4x2y-8xy2)+x2y」}-5xy2
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