What is (x^2+13x+40)/(x^2+9x+20) ?

The solution to (x^2+13x+40)/(x^2+9x+20) is (x+8)/(x+4)

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simplify (x^2+13x+40)/(x^2+9x+20)

simplify

\frac{x ^{2} + 13 x + 40}{x ^{2} + 9 x + 20}

\frac{x + 8}{x + 4}

Solution steps

\frac{x ^{2} + 13 x + 40}{x ^{2} + 9 x + 20}

Factor

x^{2} + 13 x + 40 : (x + 5) (x + 8)

= \frac{( x + 5 ) ( x + 8 )}{x ^{2} + 9 x + 20}

Factor

x^{2} + 9 x + 20 : (x + 4) (x + 5)

= \frac{( x + 5 ) ( x + 8 )}{( x + 4 ) ( x + 5 )}

Cancel the common factor:

x + 5

= \frac{x + 8}{x + 4}

6 x^{2} - 19 x + 14

(\times (- 3))^{2}

1 \frac{1}{3} + 2 \frac{3}{7}

\frac{\frac{4.5}{5}}{1}

\frac{5}{6} \times \frac{1}{3}

What is (x^2+13x+40)/(x^2+9x+20) ?
The solution to (x^2+13x+40)/(x^2+9x+20) is (x+8)/(x+4)