Matematika

Pertanyaan

bila (x+5y)^2= a x^2+b xy+c y^. tentukan nilai (c-b) :

1 Jawaban

  • MAPEL = MATEMATIKA
    KELAS = 8
    BAB = OPERASI HITUNG ALJABAR

    [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {(x + 5y)}^{2} = a {x}^{2} + bxy + c {y}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: (x + 5y)(x + 5y) = a {x}^{2} + bxy + c {y}^{2} \\ \:{x}^{2} + 5xy + 5xy + 25 {y}^{2} = a {x}^{2} + bxy + c {y}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: {x}^{2} + 10xy + 25 {y}^{2} = a {x}^{2} + bxy + c {y}^{2} \\ [/tex]
    jadi nilai
    a = 1
    b = 10
    c = 25

    nilai C - B
    = 25 - 10
    = 15

    semoga membantu

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