What is (2x-3)/(1-5x)*(5x-1)/(2x+3) ?

The solution to (2x-3)/(1-5x)*(5x-1)/(2x+3) is (2x-3)/(-2x-3)

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simplify (2x-3)/(1-5x)*(5x-1)/(2x+3)

simplify

\frac{2 x - 3}{1 - 5 x} \cdot \frac{5 x - 1}{2 x + 3}

\frac{2 x - 3}{- 2 x - 3}

Solution steps

\frac{2 x - 3}{1 - 5 x} \cdot \frac{5 x - 1}{2 x + 3}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( 2 x - 3 ) ( 5 x - 1 )}{( 1 - 5 x ) ( 2 x + 3 )}

1 - 5 x = - (5 x - 1)

= \frac{( 2 x - 3 ) ( 5 x - 1 )}{- ( 5 x - 1 ) ( 2 x + 3 )}

Cancel the common factor:

5 x - 1

= \frac{2 x - 3}{- ( 2 x + 3 )}

Apply the distributive law:

- (a + b) = - a - b

- (2 x + 3) = - 2 x - 3

= \frac{2 x - 3}{- 2 x - 3}

4 x^{2} - 16 x - 20

\frac{5}{a} + \frac{3}{a - 1}

4 p^{2} - 9

\frac{21}{- 3}

(4 - 3 i) (5 + 7 i)

What is (2x-3)/(1-5x)*(5x-1)/(2x+3) ?
The solution to (2x-3)/(1-5x)*(5x-1)/(2x+3) is (2x-3)/(-2x-3)