What is (a/(x-2)+b/(x+2))(x-2)(x+2) ?

The solution to (a/(x-2)+b/(x+2))(x-2)(x+2) is ax+2a+bx-2b

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simplify (a/(x-2)+b/(x+2))(x-2)(x+2)

simplify

(\frac{a}{x - 2} + \frac{b}{x + 2}) (x - 2) (x + 2)

a x + 2 a + b x - 2 b

Solution steps

(\frac{a}{x - 2} + \frac{b}{x + 2}) (x - 2) (x + 2)

Join

\frac{a}{x - 2} + \frac{b}{x + 2} : \frac{a x + 2 a + b x - 2 b}{( x - 2 ) ( x + 2 )}

= \frac{a x + 2 a + b x - 2 b}{( x - 2 ) ( x + 2 )} (x - 2) (x + 2)

Apply the fraction rule:

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

= \frac{( a x + 2 a + b x - 2 b ) ( x - 2 ) ( x + 2 )}{( x - 2 ) ( x + 2 )}

Cancel the common factor:

x - 2

= \frac{( a x + 2 a + b x - 2 b ) ( x + 2 )}{x + 2}

Cancel the common factor:

x + 2

= a x + 2 a + b x - 2 b

p^{\frac{2}{3}} (p^{\frac{1}{3}} + 2 p^{\frac{7}{3}})

(x + \frac{4}{5}) (x - \frac{2}{5})

cos^{2} (t) (1 - t) (5 - t^{3})

\frac{π ( - 4 ln ( 2 ) + 4 )}{4}

\frac{3 ( 2 cos ( t ) + 1 )}{3}

What is (a/(x-2)+b/(x+2))(x-2)(x+2) ?
The solution to (a/(x-2)+b/(x+2))(x-2)(x+2) is ax+2a+bx-2b