Matematika

Pertanyaan

jabarkanlah kemudian sederhanakanlah.
a.(6 – 3x)(3x + 1)
b.(x – y + 2)(x – y + 3)
c.(x²– 4)²

1 Jawaban

  • a][
    (6 - 3x)(3x + 1)
    = 6(3x + 1) - 3x(3x + 1)
    = 18x + 6 - 9x² - 3x
    = -9x² + 15x + 6

    b][
    (x - y + 2)(x - y + 3)
    = x(x - y + 3) - y(x - y + 3) + 2(x - y + 3)
    = x² - xy + 3x - xy + y² - 3y + 2x - 2y + 6
    = x² + 5x + y² - 5y - 2xy + 6
    = (x - y)² + 5(x - y) + 6

    c][
    (x² - 4)²
    = (x²)² - 2(x²)(4) + 4²
    = x⁴ - 8x² + 16

    ➡ (a - b)² = a² - 2ab + b²

Pertanyaan Lainnya