问题
计算题
因式分解:
(1)x2﹣9y2;
(2)2ax2﹣8ax+8a;
(3)(x2+y2)2﹣4x2y2
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+y2)2﹣4x2y2,
=(x2+y2+2xy)(x2+y2﹣2xy),
=(x+y)2(x﹣y)2.
因式分解:
(1)x2﹣9y2;
(2)2ax2﹣8ax+8a;
(3)(x2+y2)2﹣4x2y2
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+y2)2﹣4x2y2,
=(x2+y2+2xy)(x2+y2﹣2xy),
=(x+y)2(x﹣y)2.