What is (2a)/(a-3)-(2a)/(a+3)+(36)/(a^2-9) ?

The solution to (2a)/(a-3)-(2a)/(a+3)+(36)/(a^2-9) is (12)/(a-3)

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simplify (2a)/(a-3)-(2a)/(a+3)+(36)/(a^2-9)

simplify

\frac{2 a}{a - 3} - \frac{2 a}{a + 3} + \frac{36}{a ^{2} - 9}

\frac{12}{a - 3}

Solution steps

\frac{2 a}{a - 3} - \frac{2 a}{a + 3} + \frac{36}{a ^{2} - 9}

Least Common Multiplier of

a - 3, a + 3, a^{2} - 9 : (a - 3) (a + 3)

Adjust Fractions based on the LCM

= \frac{2 a ( a + 3 )}{( a - 3 ) ( a + 3 )} - \frac{2 a ( a - 3 )}{( a - 3 ) ( a + 3 )} + \frac{36}{( a - 3 ) ( a + 3 )}

Apply the fraction rule:

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

= \frac{2 a ( a + 3 ) - 2 a ( a - 3 ) + 36}{( a - 3 ) ( a + 3 )}

Simplify

2 a (a + 3) - 2 a (a - 3) + 36 : 12 a + 36

= \frac{12 a + 36}{( a - 3 ) ( a + 3 )}

Cancel

\frac{12 a + 36}{( a - 3 ) ( a + 3 )} : \frac{12}{a - 3}

= \frac{12}{a - 3}

4 x^{2} - 28 x + 24

9 x^{4} + 24 x^{2} + 16

\frac{16 !}{10 !}

6 x + 175 = 3 x + 127

4 ∣ x - 4 ∣ + 6 \leq 30

What is (2a)/(a-3)-(2a)/(a+3)+(36)/(a^2-9) ?
The solution to (2a)/(a-3)-(2a)/(a+3)+(36)/(a^2-9) is (12)/(a-3)