Matematika

Pertanyaan

tentukan KPK dan FPB dari bentuk aljabar berikut:
a. 6ab²c dan 8a³b²
b. 20pq dan 35p²q
c. 9xy²,6xy, dan 12x³y
d. 25p²qr²,30pqr²,dan 36p³q²r

1 Jawaban

  • a) 6ab^2c = 3 x 2ab^2c
    8a^3b^2 = 2^3a^3b^2
    FPB = 2ab^2. KPK = 3 x 2^3a^3b^2c
    = 27a^3b^2c
    b) 20pq = 2^2 x 5pq
    35p^2q = 5 x 7p^2q
    FPB = 5pq. KPK = 2^2 x 5x7p^2q
    = 140p^2q
    c) 9xy^2 = 3^2xy^2, 6xy = 3 x 2xy,
    12x^3y = 2^2 x 3x^3y
    FPB = 3 x 2xy = 6xy
    KPK = 3^2 x 2^2 x 3xy^2x^3y
    = 72x^4y^3
    d) 25p^2qr^2 = 5^2p^2qr^2
    30pqr^2 = 2 x 3 x 5pqr^2
    36p^3q^2r = 2^2 x 3^2p^3q^2r
    FPB = 5 x 2 x 3pqr = 30pqr
    KPK = 5^2 x 2^2 x 3^2p^2r^2p^3q^2qr^2
    = 900p^5q^3r^4

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