Question

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

Answer 1

Answer: 2/3 * (× + 2 )

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 )