问题 解答题

因式分解

(1)4a2-9

(2)2x2-4x+2

(3)a3b-ab3

(4)a(x-1)-(1-x)

答案

(1)4a2-9=(2a+3)(2a-3);

(2)2x2-4x+2,

=2(x2-2x+1),

=2(x-1)2

(3)a3b-ab3

=ab(a2-b2),

=ab(a+b)(a-b);

(4)a(x-1)-(1-x),

=a(x-1)+(x-1),

=(x-1)(a+1).

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