son asked in 科學及數學數學 · 5 years ago

伐數分式及公式4(請盡快回答)

化簡下列各伐數分式,要步驟+答案,有d題目已經做了不用做

https://docs.google.com/document/d/1G9MSBxiISPSmgq...

https://docs.google.com/document/d/1aRvour--Y5rQi-...

1 Answer

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  • 土扁
    Lv 7
    5 years ago
    Favorite Answer

    5.

    (a)

    (5 / 4c) - (1 / 5c)

    = (25 / 20c) - (4 / 5c)

    = (25 - 4) / 20c

    = 21 / 20c

    (c)

    (5 / 8a) - (5 / 6a)

    = (15 / 24a) - (20 / 24a)

    = (15 - 20) / 24a

    = 5 / 24a

    (d)

    (u / 3v) + (2u / 5v)

    = (5u / 15v) + (6u / 15v)

    = (5u + 6u) / 15v

    = 11u / 15v

    ====

    6.

    (a)

    [2 / (a + 1)] + [10 / (a + 1)]

    = (2 + 10) / (a + 1)

    = 12 / (a + 1)

    所以 ( ) = 12

    (b)

    (3b / 5c) - [( ) / 5c] = b / 5c

    3b - ( ) = b

    所以 ( ) = 2b

    (c)

    [( ) / (2d + e)] - [2d / (2d + e)] = 1 / (2d + e)

    ( ) - 2d = 1

    所以 ( ) = 2d + 1

    (d)

    [( ) / (f - g)] - [f / (f - g)] = 2g / (f - g)

    ( ) - f = 2g

    ( ) = f + 2g

    ====

    7.

    (a)

    [8 / (7m - n)] - [1 /(n - 7 m)]

    = [8 / (7m - n)] + [1 /(7 m - n)]

    = (8 + 1) / (7m - n)

    = 9 / (7m - n)

    (b)

    [p / (p - 6)] + [6 / (6 - p)]

    = [p / (p - 6)] - [6 / (p - 6)]

    = (p - 6) / (p - 6)

    = 1

    (c)

    [(w + l) / (wl - 1)] - [(w - l) / (1 -wl)]

    = [(w + l) / (wl - 1)] + [(w - l) / (wl - 1)]

    = [(w + l) + (w - l)] / (wl - 1)

    = (w + l + w - l) / (wl - 1)

    = 2w / (wl - 1)

    (d)

    [2x / (3x + y)] - [(x + y) / (-y - 3x)]

    = [2x / (3x + y)] + [(x + y) / (y + 3x)]

    = [2x / (3x + y)] + [(x + y) / (3x + y)]

    = [2x + (x + y)] / (3x + y)

    = (2x + x + y) / (3x + y)

    = (3x + y) / (3x + y)

    = 1

    ====

    8.

    (a)

    [1 / (3 + x)] + [7 / 4(3 + x)]

    = [4 / 4(3 + x)] + [7 / 4(3 + x)]

    = (4 + 7) / 4(3 + x)

    = 11 / 4(3 + x)]

    (b)

    [3 / 2(a + b)] + [5 / (a + b)]

    = [3 / 2(a + b)] + [10 / 2(a + b)]

    = (3 + 10) / 2(a + b)

    = 13 / 2(a + b)

    (c)

    [3x / (x - 6)] - [x / 5(x - 6)]

    = [15x / 5(x - 6)] - [x / 5(x - 6)]

    = (15x - x) / 5(x - 6)]

    = 14x / 5(x - 6)

    (d)

    [(3b + 1) / 2(a + b)] - [2b / (a + b)]

    = [(3b + 1) / 2(a + b)] - [4b / 2(a + b)]

    = [(3b + 1) - 4b] / 2(a + b)]

    = (3b + 1 - 4b) / 2(a + b)]

    = (1 - b) / 2(a + b)

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