问题
计算题
把下列各式因式分解:
(1)4x(a﹣b)﹣8y(b﹣a);
(2)﹣36x2+12xy﹣y2;
(3)a4﹣16.
答案
解:(1)4x(a﹣b)﹣8y(b﹣a)
=4(a﹣b)(x+2y);
(2)﹣36x2+12xy﹣y2
=﹣(36x2﹣12xy+y2)
=﹣(6x﹣y)2;
(3)a4﹣16
=(a2+4)(a2﹣4)
=(a2+4)(a﹣2)(a+2).
把下列各式因式分解:
(1)4x(a﹣b)﹣8y(b﹣a);
(2)﹣36x2+12xy﹣y2;
(3)a4﹣16.
解:(1)4x(a﹣b)﹣8y(b﹣a)
=4(a﹣b)(x+2y);
(2)﹣36x2+12xy﹣y2
=﹣(36x2﹣12xy+y2)
=﹣(6x﹣y)2;
(3)a4﹣16
=(a2+4)(a2﹣4)
=(a2+4)(a﹣2)(a+2).