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hichkok12 [17]
3 years ago
10

Find the quotient and reduce to lowest terms: ((x²-4)/(3x)) ÷ ((x-2)/(2x)).

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

Answer:   2/3 * (× + 2 )

Step-by-step explanation:

((x²-4)/(3x)) ÷ ((x-2)/(2x)).          ⇒   [ ( ײ - 4 ) * 2x ] ÷ [ ( × - 2 ) *3x ]

Simplifying by x   [ 2 * ( ײ - 4 ) ] ÷ [ ( × - 2 ) *3 ] ⇒ (2/3)*{ [ ( x-2 )*(×+2)]÷ (×-2) }

Simplifying by ( ×+2)     2/3 * (× + 2 )

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