中二 maths

2010-02-18 9:01 pm
以下係用因式分解來做:

1. 3(x-y)-6a(y-x)

2. (2x+1)(x-y)-(3x+1)(x-y)

3. 3(a-b)(3r-t)+9(b-a)(2t-5s)


詳盡列式。

回答 (4)

2010-02-18 9:37 pm
✔ 最佳答案
1. 3(x-y)-6a(y-x)
=3(x-y)+6a(x-y)
=(x-y)(6a+3)

2. (2x+1)(x-y)-(3x+1)(x-y)
=(x-y)[(2x+1)-(3x+1)]
=(x-y)(-x)
=-x(x-y)

3. 3(a-b)(3r-t)+9(b-a)(2t-5s)
=3(a-b)(3r-t)-9(a-b)(2t-5s)
=3(a-b)[(3r-t)-3(2t-5s)]
=3(a-b)(3r-7t+15s)
2010-03-01 2:01 am
Q1 of 001 is not in the simpliest form
2010-02-19 6:44 am
3(x-y)-6a(y-x)
3(x-y)+6a(x-y)
(3+6a)(x-y)
3(1+2a)(x-y)

(2x+1)(x-y)-(3x+1)(x-y)
(x-y)(2x+1-3x-1)
-x(x-y)
x(y-x)

3(a-b)(3r-t)+9(b-a)(2t-5s)
(9r-3t)(a-b)+(b-a)(18t-45s)
(9r-3t)(a-b)-(a-b)(18t-45s)
(a-b)(9r-3t-18t+45s)
(a-b)(9r-21t+45s)
3(a-b)(3r-7t+15s)
2010-02-19 12:19 am
1.3(x-y)-6a(y-x)
=3(x-y)+6a(x-y)
=3(x-y)(1+2a)
=3(x-y)(2a+1)
2.(2x+1)(x-y)-(3x+1)(x-y)
=(2x+1-3x-1)(x-y)
=-x(x-y)
3....
=3(a-b)(3r-t)-9(a-b)(2t-5s)
=3(a-b)(3r-t-3(2t-5s))
=3(a-b)(3r-t-6t+15s)
=3(a-b)(3r-7t+15s)
參考: me


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