题目内容
分解因式:
(1)4m2-9n2
(2)-4x2y+4xy2-y3
(3)m2(m+1)-(m+1)
(4)(y2+4)2-16y2.
(1)4m2-9n2
(2)-4x2y+4xy2-y3
(3)m2(m+1)-(m+1)
(4)(y2+4)2-16y2.
(1)4m2-9n2=(2m+3n)(2m-3n);
(2)-4x2y+4xy2-y3,
=-y(4x2-4xy+y2),
=-y(2x-y)2;
(3)m2(m+1)-(m+1),
=(m+1)(m2-1),
=(m+1)2(m-1);
(4)(y2+4)2-16y2,
=(y2+4y+4)(y2-4y+4),
(y+2)2(y-2)2.
(2)-4x2y+4xy2-y3,
=-y(4x2-4xy+y2),
=-y(2x-y)2;
(3)m2(m+1)-(m+1),
=(m+1)(m2-1),
=(m+1)2(m-1);
(4)(y2+4)2-16y2,
=(y2+4y+4)(y2-4y+4),
(y+2)2(y-2)2.
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