试题与答案

因式分解: (1)3x2-27=______; (2)4x3-36x=_____

题型:填空题

题目:

因式分解:

(1)3x2-27=______;

(2)4x3-36x=______;

(3)a2b-4b3=______;

(4)x2y2-x4y2=______.

答案:

(1)3x2-27=3(x2-9)=3(x+3)(x-3);

(2)4x3-36x=4x(x2-9)=4x(x+3)(x-3);

(3)a2b-4b3=b(a2-4b2)=b(a+2b)(a-2b);

(4)x2y2-x4y2=x2y2(1-x2)=x2y2(1-x)(1+x).

故答案为:(1)3(x+3)(x-3);(2)4x(x+3)(x-3);(3)b(a+2b)(a-2b);(4)x2y2(1-x)(1+x).

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