问题 解答题

因式分解:

(1)4x3-36x;

(2)(y+2)(y+4)+1

(3)(x2+1)2-10(x2+1)+25.

答案

(1)4x3-36x,

=4x(x2-9),

=4x(x+3)(x-3);

(2)(y+2)(y+4)+1,

=y2+6y+9,

=(y+3)2

(3)(x2+1)2-10(x2+1)+25,

=(x2+1-5)2

=(x+2)2(x-2)2

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