Matematika

Pertanyaan

a. 3(-2x-4y)²
b. -6x²+17x-5
c. x+3/x-2 + x-2/x+3
d. 3/x²+x-2 - 2/x²+3x+3

1 Jawaban

  • a. 3[(-2x-4y)(-2x-4y)]
    = 3[4x²+8xy+8xy+16y²]
    =3[4x²+16xy+16y²]
    =12x²+48xy+ 48y

    b. (3x+1)(-2x-5) faktorisasi aja

    c. dikalikan aja penyebutnya
    x+3/x-2 + x-2/x+3
    = (x+3)(x+3)/(x-2)(x+3) +(x-2) (x-2) /(x+3)(x+2)
    = x²+9x+9/x²+x-6 + x²-4x+4/x²+x-6
    = 2x²+5x+ 13/x²+x-6

    d. 3/x²+x-2 - 2/x²+3x+3
    = 3/(x-1)(x+2) - 2/(x+3)(x+1)
    = 3(x+3)(x+1)/(x-1)(x+2)(x+3)(x+1) - 2(x-1)(x+2)/(x-1)(x+2)(x+3)(x+1)
    =3(x²+3x+3) /(x²+x-2)(x²+3x+3) - 2(x²+x-2)/(x²+x-2)(x²+3x+3)
    =3x²+9x+9/(x²+x-2)(x²+3x+3) - 2x²-2x+4/(x²+x-2)(x²+3x+3)
    = x²+7x+13/(x²+x-2)(x²+3x+3)

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