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分解因式①16x2y2-1②-25x2+49y2③a5-9a3④3(a+b)2-27c2⑤-x4+x2y2⑥a

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/13 17:23:46
分解因式
①16x2y2-1
②-25x2+49y2
③a5-9a3
④3(a+b)2-27c2
⑤-x4+x2y2
a
①原式=(4xy+1)(4xy-1);
②原式=-(5x+7y)(5x-7y)
③原式=a3(a2-9)
=a3(a+3)(a-3)
④原式=3[(a+b)2-9c2]
=3(a+b+3c)(a+b-3c);
⑤原式=-x2(x2-y2)=-x2(x+y)(x-y);
⑥原式=(a+
1
5b)(a-
1
5b);
⑦原式=m2(x-y)-n2(x-y)
=(x-y)(m2-n2)
=(x-y)(m+n)(m-n)
⑧原式=[4(x+y)+5(x-y)][4(x+y)-5(x-y)]
=-(x-9y)(9x-y).