问题 解答题

分解因式:

(1)3x2-6x                      (2)a3-4ab2

(3)(a2+4)2-16a2                 (4)(a+2)(a-2)+3a

答案

(1)3x(x-2);                               

(2)a(a+2b) (a-2b);

(3 (a+2)2(a-2)2

(4)(a-1)(a+4).

题目分析:有公因式的先提取公因式,能套公式的再用公式法继续分解.

试题解析:(1)3x2-6x=3x(x-2);                               

(2)a3-4ab2= a(a2-4b2) =" a(a+2b)" (a-2b);

(3)(a2+4)2-16a2 =(a2+4+4a) (a2+4-4a) =(a+2)2(a-2)2

(4)(a+2)(a-2)+3a= a2-4+3a= (a-1)(a+4).

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