Question

URGENT!! The quotient of the rational expressions

Answer 1

`\frac{2 {x}^(2) }{3 {x}^(2) - 7x + 2 }`

Option C is the correct option

Explanation:

`(x)/(3x - 1) / (x - 2)/(2x)`

To divide by a fraction, multiply by the reciprocal of that fraction

`(x)/(3x - 1) * (2x)/(x - 2)`

Multiply the fractions

`\frac{2 {x}^(2) }{(3x - 1)(x - 2)}`

Multiply the parentheses

`\frac{2 {x}^(2) }{3x(x - 2) - 1(x - 2)}`

`\frac{2 {x}^(2) }{3 {x}^(2) - 6x - x + 2 }`

Collect like terms

`\frac{2 {x}^(2) }{3 {x}^(2) - 7x + 2 }`

Hope this helps...

Best regards!!