Matematika

Pertanyaan

Sederhanakan bentuk bentuk aljabar berikut!!!
Pakai caranya!!!
Sederhanakan bentuk bentuk aljabar berikut!!! Pakai caranya!!!

1 Jawaban

  • a) ( 2 / 2p ) + ( 3 / 5p )

    = 2 ( 5p ) + 3 ( 2p )
    -----------------------------
    ( 2p ) ( 5p )

    = 10p + 6p
    ----------------
    10p²

    = 16p
    ---------
    10p²

    = 2p ( 8 )
    --------------
    2p ( 5p )

    = 8
    -------
    5p


    b) ( 6 / 5a ) - ( 2b-3 / 3a )

    = 6 ( 3a ) - 5a ( 2b - 3 )
    ---------------------------------
    ( 5a ) ( 3a )

    = 18a - 10ab + 15a
    ----------------------------
    15a²

    = 33a - 10ab
    -------------------
    15a²

    = a ( 33 - 10b)
    --------------------
    a ( 15a )

    = 33 - 10b
    ----------------
    15a


    c) ( p² / 8q ) × ( 24 / 5pq )

    = p² × 24
    -----------------
    8q × 5pq

    = 24p²
    --------------
    40p²q

    = 8p² ( 3)
    ---------------
    8p² ( 5q )

    = 3
    ------
    5q


    d) ( 9mn / 4k ) × ( 6kn² / 3m² )

    = 9mn × 6kn²
    ---------------------
    4k × 3m²

    = 54kmn³
    ---------------
    12km²

    = 6km ( 9n³)
    -------------------
    6km ( 2m )

    = 9n³
    ---------
    2m


    e) ( 3km² / 5n ) ÷ ( 9m / 10n )

    = 3km² × 10n
    ----------------------
    9m × 5n

    = 30km²n
    ----------------
    40mn

    = 10mn ( 3km )
    -----------------------
    10mn ( 4 )

    = 3km
    ---------
    4


    f) ( 5pq / 3r ) ÷ ( 15q² / 6pr )

    = 5pq × 6pr
    -------------------
    3r × 15q²

    = 30p²qr
    ---------------
    45q²r

    = 15qr ( 2p² )
    -------------------
    15qr ( 3q )

    = 2p²
    ---------
    3q