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skad [1K]
3 years ago
8

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

Mathematics
2 answers:
Vikentia [17]3 years ago
7 0
Find the attachment bellow.

First, form the expression.

(2x-3)/(5x²) ÷ (<span>x-5)/(3x-1)

= (2x-3)/(5x</span>²) ×(3x-2)/(x-5)

 = ((2x-3)(3x-1))/((5x²)(x-5))

= (6x²-11x+3)/(5x³-25x²)

Kamila [148]3 years ago
6 0
The expression in fraction form will be:

\frac{ \frac{2x-3}{5 x^{2} } }{ \frac{x-5}{3x-1} }

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

\frac{2x-3}{5 x^{2} } * \frac{3x-1}{x-5} \\  \\ &#10;= \frac{(2x-3)(3x-1)}{5 x^{2}(x-5) }

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