What is (3a)/(a-1)+2/(3a+4) ?

The solution to (3a)/(a-1)+2/(3a+4) is (9a^2+14a-2)/((a-1)(3a+4))

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simplify (3a)/(a-1)+2/(3a+4)

simplify

\frac{3 a}{a - 1} + \frac{2}{3 a + 4}

\frac{9 a ^{2} + 14 a - 2}{( a - 1 ) ( 3 a + 4 )}

Solution steps

\frac{3 a}{a - 1} + \frac{2}{3 a + 4}

Least Common Multiplier of

a - 1, 3 a + 4 : (a - 1) (3 a + 4)

Adjust Fractions based on the LCM

= \frac{3 a ( 3 a + 4 )}{( a - 1 ) ( 3 a + 4 )} + \frac{2 ( a - 1 )}{( a - 1 ) ( 3 a + 4 )}

Apply the fraction rule:

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

= \frac{3 a ( 3 a + 4 ) + 2 ( a - 1 )}{( a - 1 ) ( 3 a + 4 )}

Simplify

3 a (3 a + 4) + 2 (a - 1) : 9 a^{2} + 14 a - 2

= \frac{9 a ^{2} + 14 a - 2}{( a - 1 ) ( 3 a + 4 )}

- \frac{1}{3} - (- \frac{1}{2})

1.7 \cdot 1 0^{3}

(\frac{6}{7}) (\frac{- 56}{36})

\frac{tan ( 2 x )}{cos ( x )}

What is (3a)/(a-1)+2/(3a+4) ?
The solution to (3a)/(a-1)+2/(3a+4) is (9a^2+14a-2)/((a-1)(3a+4))