espiritu8984 espiritu8984

21-10-2019
Mathematics

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

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jtellezd jtellezd

24-10-2019

Answer: 2/3 * (× + 2 )

Step-by-step explanation:

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

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

Simplifying by ( ×+2) 2/3 * (× + 2 )

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