急!! 中三因式分解 ..

2007-07-17 9:04 pm
1) 1/3B^2-12



2)2X^3-16



3)6X^2-11XY-10Y^2



4) (A^2-A-72) + (AB+8B )



5)X^2-X-6



6) U^2 -2U-15



7) (A+2B)^2 - (A+2B+根3 ) (A+2B-根3 )

回答 (2)

2007-07-17 9:23 pm
✔ 最佳答案
1)
1/3B^2-12
= 1/3 (B^2 - 36)
= 1/3 (B + 6)(B - 6)

2)
2X^3-16
=2(X^3 - 8)
=2(X - 2)(X^2 + 2X +4)

3)
6X^2-11XY-10Y^2
=(3X + 2Y)(2X - 5Y)

4)
(A^2-A-72) + (AB+8B )
=(A + 8)(A - 9) + (A + 8)B
=(A + 8)(A + B - 9)

5)
X^2-X-6
=(X - 3)(X + 2)

6)
U^2 -2U-15
=(U - 7)(U + 5)

7)
(A+2B)^2 - (A+2B+√3 ) (A+2B-√3 )
=(A+2B)^2 - [(A+2B)^2 -√3^2]
=(A+2B)^2 - [(A+2B)^2 - 3]
=3
2007-07-19 11:46 pm
1)

1/3B^2-12

= 1/3 (B^2 - 36)

= 1/3 (B + 6)(B - 6)

2)

2X^3-16

=2(X^3 - 8)

=2(X - 2)(X^2 + 2X +4)

3)

6X^2-11XY-10Y^2

=(3X + 2Y)(2X - 5Y)

4)

(A^2-A-72) + (AB+8B )

=(A + 8)(A - 9) + (A + 8)B

=(A + 8)(A + B - 9)

5)

X^2-X-6

=(X - 3)(X + 2)

6)

U^2 -2U-15
=(U - 7)(U + 5)

7)

(A+2B)^2 - (A+2B+√3 ) (A+2B-√3 )
=(A+2B)^2 - [(A+2B)^2 -√3^2]

=(A+2B)^2 - [(A+2B)^2 - 3]

=3


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