問3題數學題!!! 10~~~~~~~~~~~~~~~~~~~~~

2006-11-27 1:48 am
simplify the following expressions

1. 15c² /d³ 除 5c/d X d²/9c -------------------ans:1/3

2. 8x/5y X 2-10x/16x 除 4-20x/10y-------------------ans:1/2

3. (4m-1)²/15-5n X n²-3²/n-4mn 除 (4m-1) -------------------ans:n+3/5n

回答 (1)

2006-11-27 2:06 am
✔ 最佳答案
1. => 15c² /d³ * d/5c * d²/9c = 3c/d² * d²/9c = 1/3

2. => 1-5x/5y 除 4-20x/10y = 1-5x/5y * 10y/4-20x = 1-5x/2-10x = 1/2

3. => (4m-1)²/15-5n 除 (4m-1)X n²-3²/n-4mn = (4m-1)/15-5n X n²-3²/n-4mn
= (4m-1)/ [5(3-n)] X { [(n+3)(n-3)] / n(1-4m)}
= -(1-4m)/[5(3-n)] X { [(n+3)(n-3)] / n(1-4m)}
= -1/[5(3-n)] X { [(n+3)(n-3)] / n}
= 1/[5(n-3)] X { [(n+3)(n-3)] / n}
= 1/5 X (n+3)/n
= (n+3)/5n


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