What is 2/(4x+12)+7/(x+3) ?

The solution to 2/(4x+12)+7/(x+3) is (15)/(2(x+3))

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simplify 2/(4x+12)+7/(x+3)

simplify

\frac{2}{4 x + 12} + \frac{7}{x + 3}

\frac{15}{2 ( x + 3 )}

Solution steps

\frac{2}{4 x + 12} + \frac{7}{x + 3}

Cancel

\frac{2}{4 x + 12} : \frac{1}{2 ( x + 3 )}

= \frac{1}{2 ( x + 3 )} + \frac{7}{x + 3}

Least Common Multiplier of

2 (x + 3), x + 3 : 2 (x + 3)

Adjust Fractions based on the LCM

= \frac{1}{2 ( x + 3 )} + \frac{14}{2 ( x + 3 )}

Apply the fraction rule:

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

= \frac{1 + 14}{2 ( x + 3 )}

Add the numbers:

1 + 14 = 15

= \frac{15}{2 ( x + 3 )}

\frac{sin ( x )}{1 + cos ( x )} + cot (x)

(- x^{4} + 13 x^{5} + 6 x^{3}) + (6 x^{3} + 5 x^{5} + 7 x^{4})

4 x^{2} + 8 x - 4

\frac{3 x}{2 x - 3} + \frac{1}{4 x ^{2} - 9} - \frac{6 x ^{2}}{3 + 2 x}

8 \frac{1}{4}