簡化公式一問

2006-12-23 10:39 pm
想問問以下條題的簡化公式,詳細列出簡化步驟^^"
1.(x/3x+3)+(5x/4x+4)
2.(2x-5/x-3) - (2/2x-6)
3.(1)+(5x/x+4)
4.(x)-(xy/x+y)
5.(1/m-1)-(3/m)
ps:全部除號是分線,和沒有括號(放便大家看清楚)

回答 (1)

2006-12-23 11:07 pm
✔ 最佳答案
1. (X / 3X+3) + (5X / 4X+4)
= X / 3 (X+1) + 5X / 4(X+1)
= 4X / 12 (X+1) + 15X / 12 (X+1)
=19 / 12 (X+1)

2. (2X-5/X-3) - (2/2X-6)
= 2X-5 / X-3 - 2 / 2 (X-3)
= 2(2X-5) / 2(X-3) - 2 / 2 (X-3)
= 4X -10 -2 / 2 (X-3)
= 4X-8 / 2 (X-3)
= 4( X-2) / 2 (X-3)
= 2(X-2) / (X-3)

3.(1)+(5X/X+4)
= X+4 / X+4 + 5X / X+4
= X+4+5X / X+4
=6X+4 / X+4
=2(3X+2) / X+4

4.(X)-(XY/X+Y)
=X(X+Y) / X+Y - XY / X+Y
=X2+XY-XY /X+Y
=X2 / X+Y

5.(1/m-1)-(3/m)
=m / m(m-1) - 3(m-1) / m(m-1)
=m-3(m-1) / m(m-1)
=m-3m+3 / m(m-1)
=3-2m / m(m-1)

X2 mean X square


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