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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

2 a, a^{2} : 2 a^{2}

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

x^{3} - 6 x^{2} + 9 x - 54

2 n^{2} - 28 n + 98

16 - w^{4}

3 < 3 x + 6 \leq 12

2 n + 15 = 3 n - 5

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