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

The solution to 3/(a^2-4)-2/(a^2-4a+4) is (a-10)/((a+2)(a-2)^2)

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

simplify

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

\frac{a - 10}{( a + 2 ) ( a - 2 ) ^{2}}

Solution steps

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

Least Common Multiplier of

a^{2} - 4, a^{2} - 4 a + 4 : (a + 2) (a - 2)^{2}

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 (a - 2) - 2 (a + 2) : a - 10

= \frac{a - 10}{( a + 2 ) ( a - 2 ) ^{2}}

5 x - 4 x

- 9 (n + 6)

- 3 + 3

\frac{3 x}{2} - \frac{x}{2}

100 \cdot 1 0^{- 3}

What is 3/(a^2-4)-2/(a^2-4a+4) ?
The solution to 3/(a^2-4)-2/(a^2-4a+4) is (a-10)/((a+2)(a-2)^2)