What is (121)/((x-a))+1/((x^2-a^2)) ?

The solution to (121)/((x-a))+1/((x^2-a^2)) is (121x+121a+1)/((x-a)(x+a))

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simplify (121)/((x-a))+1/((x^2-a^2))

simplify

\frac{121}{( x - a )} + \frac{1}{( x ^{2} - a ^{2} )}

\frac{121 x + 121 a + 1}{( x - a ) ( x + a )}

Solution steps

\frac{121}{x - a} + \frac{1}{x ^{2} - a ^{2}}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{121 ( x + a )}{( x - a ) ( x + a )} + \frac{1}{( x - a ) ( x + a )}

Apply the fraction rule:

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

= \frac{121 ( x + a ) + 1}{( x - a ) ( x + a )}

Simplify

121 (x + a) + 1 : 121 x + 121 a + 1

= \frac{121 x + 121 a + 1}{( x - a ) ( x + a )}

a^{5} + x^{5}

27 x^{3} - y^{3} + 9 x^{2} y - 3 x y^{2}

q^{16} (\frac{( 1 - cos ( x ) )}{( 1 + cos ( x ) )})

x^{3} - 6 x^{2} - 6 x + 1

\frac{( ( x ^{- 3} \cdot x ^{5} ) \cdot ( 3 y ) ^{3} )}{( x ^{- 1} \cdot x ^{2} )}

What is (121)/((x-a))+1/((x^2-a^2)) ?
The solution to (121)/((x-a))+1/((x^2-a^2)) is (121x+121a+1)/((x-a)(x+a))