试题:
因式分
(1)m3-9m;
(2)x2-12x+36;
(3)9(a+b)2-4a2
(4)n2(m-2)+4(2-m).
因式分解 2016-05-17

答案:

我来补答
(1)m3-9m
=m(m2-9)
=m(m+3)(m-3);

(2)x2-12x+36
=x2-2•x•6+62
=(x-6)2

(3)9(a+b)2-4a2
=[3(a+b)+2a][3(a+b)-2a]
=(3a+3b+2a)(3a+3b-2a)
=(5a+3b)(a+3b);

(4)n2(m-2)+4(2-m)
=n2(m-2)-4(m-2)
=(m-2)(n2-4)
=(m-2)(n+2)(n-2).
 
 
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