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

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

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

simplify

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

\frac{x + 3}{2 x + 3}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 1

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

\frac{255}{180}

- \frac{1}{5} + 4

\frac{x ^{2} + 7 x + 12}{x ^{2} - 16}

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

61 \cdot 3

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