Matematika

Pertanyaan

1. 2/(x + 3) - 3/(x - 2)
2. ab pangkat 2/c ÷ b/ ac
3. x pangkat 2 + y pangkat 2/x + y
x/y + y/x

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1 Jawaban

  • 1) ( 2 / x+3 ) - ( 3 / x-2)
    = 2( x - 2) - 3( x + 3)
    -----------------------------
    ( x + 3) ( x - 2)

    = 2x - 4 - 3x - 9
    ------------------------
    x² + 3x - 2x - 6

    = - x - 13
    ----------------
    x² + x - 6

    2) ( ab² / c ) ÷ ( b / ac )
    = ( ab²) × ( ac )
    ----------------------
    ( c ) × ( b )

    = ( b )( ab) × ( a )( c )
    -----------------------------
    ( c ) × ( b )

    = ( ab ) × ( a )
    = a²b

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