What is (x^2+4x+3)/(x^2+2x-3) ?

The solution to (x^2+4x+3)/(x^2+2x-3) is (x+1)/(x-1)

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simplify (x^2+4x+3)/(x^2+2x-3)

simplify

\frac{x ^{2} + 4 x + 3}{x ^{2} + 2 x - 3}

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

Solution steps

\frac{x ^{2} + 4 x + 3}{x ^{2} + 2 x - 3}

Factor

x^{2} + 4 x + 3 : (x + 1) (x + 3)

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

Factor

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

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

Cancel the common factor:

x + 3

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

9 i^{2} - 49 i^{6}

\frac{3}{5} + \frac{5}{6}

u^{3} + 125

x^{2} - x^{3} - 2

What is (x^2+4x+3)/(x^2+2x-3) ?
The solution to (x^2+4x+3)/(x^2+2x-3) is (x+1)/(x-1)