Question

Which of the following is the quotient of the rational expressions shown below? 2x-3/5x^2 divided by x-5/3x-1

Answer 1

The expression in fraction form will be:


`( (2x-3)/(5 x^(2) ) )/( (x-5)/(3x-1) )`

The denominator can be multiplied to the numerator by taking its reciprocal as shown below:


`(2x-3)/(5 x^(2) ) * (3x-1)/(x-5) \\ \\ = ((2x-3)(3x-1))/(5 x^(2)(x-5) )`

There are no common factors, so the expression can not be simplified any further.

Answer 2

find the attachment bellow.

First, form the expression.

(2x-3)/(5x²) ÷ (x-5)/(3x-1)

= (2x-3)/(5x²) ×(3x-2)/(x-5)

= ((2x-3)(3x-1))/((5x²)(x-5))

= (6x²-11x+3)/(5x³-25x²)