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

The solution to 2/(a+2)-3/(2a) is (a-6)/(2a(a+2))

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

simplify

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

\frac{a - 6}{2 a ( a + 2 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

= \frac{a - 6}{2 a ( a + 2 )}

7 + 5

(5 + 3)^{2}

144 n^{2} + 48 n + 4

- 3 p + 1 \leq - 11

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