What is (a-2b)/(15a)+(b-a)/(20b) ?

The solution to (a-2b)/(15a)+(b-a)/(20b) is (7ab-8b^2-3a^2)/(60ab)

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simplify (a-2b)/(15a)+(b-a)/(20b)

simplify

\frac{a - 2 b}{15 a} + \frac{b - a}{20 b}

\frac{7 ab - 8 b ^{2} - 3 a ^{2}}{60 ab}

Solution steps

\frac{a - 2 b}{15 a} + \frac{b - a}{20 b}

Least Common Multiplier of

15 a, 20 b : 60 ab

Adjust Fractions based on the LCM

= \frac{( a - 2 b ) \cdot 4 b}{60 ab} + \frac{( b - a ) \cdot 3 a}{60 ab}

Apply the fraction rule:

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

= \frac{( a - 2 b ) \cdot 4 b + ( b - a ) \cdot 3 a}{60 ab}

Simplify

(a - 2 b) \cdot 4 b + (b - a) \cdot 3 a : 7 ab - 8 b^{2} - 3 a^{2}

= \frac{7 ab - 8 b ^{2} - 3 a ^{2}}{60 ab}

\frac{e ^{x} + e ^{- x}}{e ^{x} - e ^{- x}}

\frac{125}{6}

3^{x} + 3^{x}

(x^{2} + 3)^{2} + 3

g (- 1)

What is (a-2b)/(15a)+(b-a)/(20b) ?
The solution to (a-2b)/(15a)+(b-a)/(20b) is (7ab-8b^2-3a^2)/(60ab)