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

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

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simplify (2x^2-x-3)/(2x^2-5x+3)

simplify

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

\frac{x + 1}{x - 1}

Solution steps

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

Factor

2 x^{2} - x - 3 : (x + 1) (2 x - 3)

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

Factor

2 x^{2} - 5 x + 3 : (x - 1) (2 x - 3)

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

Cancel the common factor:

2 x - 3

= \frac{x + 1}{x - 1}

\frac{40}{( - 5 )}

3^{- 2} + 2^{- 3}

(- 3) + 6

2 (2 b)

\frac{771.17}{- 200}

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