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

The solution to 4/a-3/(3a+2)-2/(a(3a+2)) is 3/a

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

simplify

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

\frac{3}{a}

Solution steps

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

Least Common Multiplier of

a, 3 a + 2, a (3 a + 2) : a (3 a + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

4 (3 a + 2) - 3 a - 2 : 9 a + 6

= \frac{9 a + 6}{a ( 3 a + 2 )}

Cancel

\frac{9 a + 6}{a ( 3 a + 2 )} : \frac{3}{a}

= \frac{3}{a}

8 i^{87}

\frac{4}{5} + \frac{3}{10} - \frac{4}{15}

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

2 a^{4} - 2 b^{4}

(- \frac{( x + 1 ) y}{2}) (- \frac{( x + 1 ) ^{5} y ^{6} z}{7})

What is 4/a-3/(3a+2)-2/(a(3a+2)) ?
The solution to 4/a-3/(3a+2)-2/(a(3a+2)) is 3/a