What is (x^2+6x+8)/(x^2+5x+4) ?

The solution to (x^2+6x+8)/(x^2+5x+4) is (x+2)/(x+1)

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simplify (x^2+6x+8)/(x^2+5x+4)

simplify

\frac{x ^{2} + 6 x + 8}{x ^{2} + 5 x + 4}

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

Solution steps

\frac{x ^{2} + 6 x + 8}{x ^{2} + 5 x + 4}

Factor

x^{2} + 6 x + 8 : (x + 2) (x + 4)

= \frac{( x + 2 ) ( x + 4 )}{x ^{2} + 5 x + 4}

Factor

x^{2} + 5 x + 4 : (x + 1) (x + 4)

= \frac{( x + 2 ) ( x + 4 )}{( x + 1 ) ( x + 4 )}

Cancel the common factor:

x + 4

= \frac{x + 2}{x + 1}

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

\frac{x ^{2} - 9}{x ^{4} - 81}

lo g_{2} (0.4)

\frac{0}{16}

\frac{128}{7}

What is (x^2+6x+8)/(x^2+5x+4) ?
The solution to (x^2+6x+8)/(x^2+5x+4) is (x+2)/(x+1)