问题 计算题

因式分解:

(1)x2﹣9y2

(2)2ax2﹣8ax+8a;

(3)(x2+y22﹣4x2y2

答案

解:(1)x2﹣9y2=x2﹣(3y)2

=(x+3y)(x﹣3y);

(2)2ax2﹣8ax+8a,

=2a(x2﹣4x+4),

=2a(x﹣2)2

(3)(x2+y22﹣4x2y2

=(x2+y2+2xy)(x2+y2﹣2xy),

=(x+y)2(x﹣y)2

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