What is (a+5b)/(a^2)-(b-3)/(ab) ?

The solution to (a+5b)/(a^2)-(b-3)/(ab) is (5b^2+3a)/(a^2b)

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simplify (a+5b)/(a^2)-(b-3)/(ab)

simplify

\frac{a + 5 b}{a ^{2}} - \frac{b - 3}{ab}

\frac{5 b ^{2} + 3 a}{a ^{2} b}

Solution steps

\frac{a + 5 b}{a ^{2}} - \frac{b - 3}{ab}

Least Common Multiplier of

a^{2}, ab : a^{2} b

Adjust Fractions based on the LCM

= \frac{( a + 5 b ) b}{a ^{2} b} - \frac{( b - 3 ) a}{a ^{2} b}

Apply the fraction rule:

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

= \frac{( a + 5 b ) b - ( b - 3 ) a}{a ^{2} b}

Simplify

(a + 5 b) b - (b - 3) a : 5 b^{2} + 3 a

= \frac{5 b ^{2} + 3 a}{a ^{2} b}

(\frac{5 - 14 i}{2 - 10 i})^{2} + (2 + 3 i)^{2}

\frac{3 7 - 5}{7 - 2}

(\frac{1}{3})^{- (\frac{1}{3})^{- 1}}

\frac{( 6 x ^{3} + 11 x ^{2} - 47 x + 20 )}{( 2 x ^{2} + 7 x - 4 )}

2 x^{2} + 6 x + 2

What is (a+5b)/(a^2)-(b-3)/(ab) ?
The solution to (a+5b)/(a^2)-(b-3)/(ab) is (5b^2+3a)/(a^2b)