What is 1/(x+3)+1/(x^2+5x+6) ?

The solution to 1/(x+3)+1/(x^2+5x+6) is 1/(x+2)

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simplify 1/(x+3)+1/(x^2+5x+6)

simplify

\frac{1}{x + 3} + \frac{1}{x ^{2} + 5 x + 6}

\frac{1}{x + 2}

Solution steps

\frac{1}{x + 3} + \frac{1}{x ^{2} + 5 x + 6}

Least Common Multiplier of

x + 3, x^{2} + 5 x + 6 : (x + 3) (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

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

Add the numbers:

2 + 1 = 3

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

Cancel the common factor:

x + 3

= \frac{1}{x + 2}

(- \frac{1}{6})^{3}

cos^{2} (\frac{x}{2}) - sin^{2} (\frac{x}{2})

\frac{6 v ^{5} w ^{5}}{18 v ^{2} w ^{3}}

12 \div 12

(4 + 2 i) - (1 - 7 i)