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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

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

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

(2 x - 5) (3 x - 1)

50 a^{2} + 20 a - 126

3 \frac{4}{9}

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