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

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

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

simplify

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

\frac{a - 1}{a + 1}

Solution steps

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

Least Common Multiplier of

a^{2} + a, a : a (a + 1)

Adjust Fractions based on the LCM

= \frac{2}{a ( a + 1 )} + \frac{( a - 2 ) ( a + 1 )}{a ( a + 1 )}

Apply the fraction rule:

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

= \frac{2 + ( a - 2 ) ( a + 1 )}{a ( a + 1 )}

Simplify

2 + (a - 2) (a + 1) : a^{2} - a

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

Cancel

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

= \frac{a - 1}{a + 1}

(\frac{x + 1}{( 2 x )})^{7} \cdot (\frac{2 x - 1}{x})^{5}

\frac{( 200 x - 300 )}{100}

f (1)^{2}

(3 x^{2} - x)^{7}

(\frac{2}{3 x ^{2}})^{4}

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