tentukan hasil operasi dari x^2-4 per 2x-8 dibagi 2x-4 per x-4
Matematika
garcinia
Pertanyaan
tentukan hasil operasi dari x^2-4 per 2x-8 dibagi 2x-4 per x-4
2 Jawaban
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1. Jawaban SadonoSukirno
(x²-4)/(2x-8) ÷ (2x-4)/(x-4)
= (x-2)(x+2)/2(x-4) ÷ 2(x-2)/(x-4)
= (x-2)(x+2)/2(x-4) × (x-4)/2(x-2)
= (x+2)/4 -
2. Jawaban cupid85
( x²-4 / 2x-8 ) ÷ ( 2x-4 / x-4 )
= ( x² - 4 ) • ( x - 4 )
---------------------------
( 2x - 4 ) • ( 2x - 8 )
= ( x - 2)( x + 2) • ( x - 4 )
----------------------------------
2 ( x - 2 ) • 2 ( x - 4 )
= ( x + 2 )
----------------
2 • 2
= x + 2
------------
4
= ¼ ( x + 2 )