標題:

F.2 數學 Factorize

發問:

1. 6bc+3cd 2. -15r-5s 3. 4x^3y^4+4xy 4. 6(r-1)^2+8(r-1) 5. xy+xz+6y+6z 6. 5b^2+10bc+3bd+6cd 7. 2am-2an-7bm+7bm 8. k^2-36 9. 36a^2-1 10. 36x^2-121Y^2z^2 11. 25-(x+2)^2 12. x^2-10x+25 更新: 第7錯左 7. 2am-2an-7bm+7bn

最佳解答:

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1. 6bc+3cd =3(2bc+cd) =3c(b+d),, 2. -15r-5s = -(15r-5s) = -5(3r-s),, 3. 4x^3y^4+4xy =4(x^3y^4+xy) =4xy(x^2y^3+1),, 4. 6(r-1)^2+8(r-1) =(r-1)[6(r-1)+8] =2(r-1)[3(r-1)+8] =2(r-1)(3r-3)+4,, 5. xy+xz+6y+6z =x(y+z)+6(y+z) =(y+z)(x+6),, 6. 5b^2+10bc+3bd+6cd =5b(b+2c)+3d(b+2c) =(b+2c)(5b+3b),, 7. 2am-2an-7bm+7bn =2a(m-n)-7b(m-n) =(m-n)(2a-7b),, 8. k^2-36 =k^2-4^2 =(k+4)(k-4),, 9. 36a^2-1 =(4a)^2-1^2 =(4a+1)(4a-1),, 10. 36x^2-121Y^2z^2 =(4x)^2-(11Yz)^2 =(4x+11Yz)(4x-11Yz),, 11. 25-(x+2)^2 =5^2-(x+2)^2 =(5+x+2)[5-(x+2)] =(7+x)(3-x),, 12. x^2-10x+25 =x^2-10x+5^2 =(x-5)^2,,

其他解答:

1. 6bc+3cd A. 6bc+3cd = 3c(2b+d) 2. -15r-5s A. -15r-5s = -5(5r+s) 3. 4x^3y^4+4xy A. 4x^3y^4+4xy = 4xy[(x^2)(y^3)+1] 4. 6(r-1)^2+8(r-1) A. 6(r-1)^2+8(r-1) = 2(r-1)[3(r-1)+4] 5. xy+xz+6y+6z A. xy+xz+6y+6z = x(y+z)+6(y+z) = (y+z)(x+6) 6. 5b^2+10bc+3bd+6cd A. 5b^2+10bc+3bd+6cd = 5b(b+2c)+3d(b+2c) = (b+2c)(5+3d) 7. 2am-2an-7bm+7bm A. Something wrong… 8. k^2-36 A. k^2-36 = (k+6)(k-6) 9. 36a^2-1 A. 36a^2-1 = (6a+1)(6a-1) 10. 36x^2-121Y^2z^2 A. 36x^2-121Y^2z^2 = (6x+11Yz)(6x-11Yz) 11. 25-(x+2)^2 A. 25-(x+2)^2 = [5-(x+2)][5+(x+2)] = (7-x)(7+x) 12. x^2-10x+25 A. x^2-10x+25 = (x-5)^2 2009-12-28 19:15:04 補充： 7. 2am-2an-7bm+7bn A. 2am-2an-7bm+7bn = 2a(m-n)-9b(m-n) = (m-n)(2a-9b)
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