Matematika

Pertanyaan

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1 Jawaban

  • 1) 4 / (-6x + 3y) × (2x + 6x) / 2
    = 4(2x + 6x)
    -------------------------
    (-6x + 3y) 2

    = 4 (8x)
    ---------------
    - 12x + 6y

    = 32x
    ----------
    - 12x + 6y

    = 2 . 16x
    --------------------
    2 ( - 6x + 3y)

    = 16x
    -------------------
    - 6x + 3y

    2) 10x - 15y
    ------------------
    5

    = 5 (2x - 3y)
    -------------------
    5

    = 2x - 3y

    3) (p - q)(2q - 3p)
    = (p . 2q) + (-q . 2q) + (-3p . - p) + ( -q.-3p)
    = 2pq - 2q² + 3p² + 3pq
    = - 2q² + 5pq + 3p²

    4) 5(x + 2y) + 3(y - 2x)
    = 10x + 10y + 3y - 6x
    = 4x + 13y

    5) 7 (x² + x + 2) - 2(x² - 3x - 5)
    = 7x² + 7x + 14 - 2x² + 6x + 10
    = 5x² + 13x + 24

    6) 3 (2x - y) - 5(x - y)
    = 6x - 3y - 5x + 5y
    = x + 2y

    7) 15a³b² = 3 . 5 . a³ . b²
    18ab⁴ = 2 . 3² . a . b⁴
    kpk = 2 . 3² . 5 . a³ . b⁴ = 90a³b⁴

    8) 45xy² = 3² . 5 . x . y²
    75yz³ = 3 . 5² . y . z³
    FPB = 3 . 5 . y = 15y

    9) P - 3Q
    = (3x² - x - 6) - 3(x² - 7x + 12)
    = 3x² - x - 6 - 3x² + 21x - 36
    = 20x - 42

    10) 2a(ab + 3a + b²) - b(a² - ab + b)
    = 2a²b + 6a² + 2ab² - a²b + ab² - b²
    = a²b + 6a² + 3ab² - b²