What is (3x^2+17x+10)/(3x^2+32x+20) ?

The solution to (3x^2+17x+10)/(3x^2+32x+20) is (x+5)/(x+10)

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simplify (3x^2+17x+10)/(3x^2+32x+20)

simplify

\frac{3 x ^{2} + 17 x + 10}{3 x ^{2} + 32 x + 20}

\frac{x + 5}{x + 10}

Solution steps

\frac{3 x ^{2} + 17 x + 10}{3 x ^{2} + 32 x + 20}

Factor

3 x^{2} + 17 x + 10 : (3 x + 2) (x + 5)

= \frac{( 3 x + 2 ) ( x + 5 )}{3 x ^{2} + 32 x + 20}

Factor

3 x^{2} + 32 x + 20 : (3 x + 2) (x + 10)

= \frac{( 3 x + 2 ) ( x + 5 )}{( 3 x + 2 ) ( x + 10 )}

Cancel the common factor:

3 x + 2

= \frac{x + 5}{x + 10}

\frac{5}{125}

x^{2} - 10 + 24

\frac{5}{9} + \frac{3}{4} + \frac{5}{12}

\frac{120}{252}

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

What is (3x^2+17x+10)/(3x^2+32x+20) ?
The solution to (3x^2+17x+10)/(3x^2+32x+20) is (x+5)/(x+10)