What is (3-2a)/(2a)-(1-a^2)/(a^2) ?

The solution to (3-2a)/(2a)-(1-a^2)/(a^2) is (3a-2)/(2a^2)

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simplify (3-2a)/(2a)-(1-a^2)/(a^2)

simplify

\frac{3 - 2 a}{2 a} - \frac{1 - a ^{2}}{a ^{2}}

\frac{3 a - 2}{2 a ^{2}}

Solution steps

\frac{3 - 2 a}{2 a} - \frac{1 - a ^{2}}{a ^{2}}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{( 3 - 2 a ) a}{2 a ^{2}} - \frac{( 1 - a ^{2} ) \cdot 2}{2 a ^{2}}

Apply the fraction rule:

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

= \frac{( 3 - 2 a ) a - ( 1 - a ^{2} ) \cdot 2}{2 a ^{2}}

Simplify

(3 - 2 a) a - (1 - a^{2}) \cdot 2 : 3 a - 2

= \frac{3 a - 2}{2 a ^{2}}

3 x \times (- 3)

\frac{27 x ^{3} y ^{5}}{3 x ^{4} y ^{2}}

\frac{2}{2} 0.25

1 - 125 w^{3}

\frac{78}{13}

What is (3-2a)/(2a)-(1-a^2)/(a^2) ?
The solution to (3-2a)/(2a)-(1-a^2)/(a^2) is (3a-2)/(2a^2)