怏~因式分解

2009-10-12 3:12 am
要有步驟

1)121c^2-100d^2

2)a^2-b+ab-a

3)9p^2-3pq+18q^2

4)3a^2-6a+3

5)8m^2-24m+18

6)-25m+30mg-9mg^2

7)4c^3+28c^2d+49cd^2

8)-27c^2+18cd-3d^2

9)5a^2-125

回答 (1)

2009-10-12 3:36 am
✔ 最佳答案
1)121c2-100d2
=(11c) 2-(10d) 2
=(11c-10d)(11c+10d)

2)a2-b+ab-a
=a2+ab-a-b
=a(a+b)-(a+b)
=(a+b)(a-1)

3)9p2-3pq+18q2
=3(p2+pq+6q2)

4)3a2-6a+3
=3(a2-2a+1)
=3(a-1)2

5)8m2-24m+18
=2(4m2-12m+9)
=2(2m-3)2

6)-25m+30mg-9mg2
=-m(25-30g+9g2)
=-m(5-3g)2

7)4c3+28c2d+49cd2
=c(4c2+28cd+49d2)
=c(2c+7d) 2

8)-27c2+18cd-3d2
=-3(9c2-6cd+d2)
=-3(3c-d) 2

9)5a2-125
=5(a2-25)
=5(a2-52)
=5(a-5)(a+5)


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