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

The solution to 3/((x^2-4))+1/((x-2)^2) is (4x-4)/((x+2)(x-2)^2)

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simplify 3/((x^2-4))+1/((x-2)^2)

simplify

\frac{3}{( x ^{2} - 4 )} + \frac{1}{( x - 2 ) ^{2}}

\frac{4 x - 4}{( x + 2 ) ( x - 2 ) ^{2}}

Solution steps

\frac{3}{x ^{2} - 4} + \frac{1}{( x - 2 ) ^{2}}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 (x - 2) + x + 2 : 4 x - 4

= \frac{4 x - 4}{( x + 2 ) ( x - 2 ) ^{2}}

a^{10} + x^{10}

(i) x^{3} - 2 x^{2} - x + 2

12 x y^{2} - 24 x^{3} y^{3}

4 x [x [5 x - (6 - x)] - (x - 1) (5 x + 1)] + 4

9.25 (18.4 - 2 x^{1.2})

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