What is expand (C(2^X+3^X))/(6^X) ?

The solution to expand (C(2^X+3^X))/(6^X) is C/(3^X)+C/(2^X)

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expand (C(2^X+3^X))/(6^X)

expand

\frac{C ( 2 ^{X} + 3 ^{X} )}{6 ^{X}}

\frac{C}{3 ^{X}} + \frac{C}{2 ^{X}}

Solution steps

\frac{C ( 2 ^{X} + 3 ^{X} )}{6 ^{X}}

Expand

C (2^{X} + 3^{X}) : 2^{X} C + 3^{X} C

= \frac{2 ^{X} C + 3 ^{X} C}{6 ^{X}}

Apply the fraction rule:

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

\frac{2 ^{X} C + 3 ^{X} C}{6 ^{X}} = \frac{2 ^{X} C}{6 ^{X}} + \frac{3 ^{X} C}{6 ^{X}}

= \frac{2 ^{X} C}{6 ^{X}} + \frac{3 ^{X} C}{6 ^{X}}

Cancel

\frac{2 ^{X} C}{6 ^{X}} : \frac{C}{3 ^{X}}

= \frac{C}{3 ^{X}} + \frac{3 ^{X} C}{6 ^{X}}

Cancel

\frac{3 ^{X} C}{6 ^{X}} : \frac{C}{2 ^{X}}

= \frac{C}{3 ^{X}} + \frac{C}{2 ^{X}}

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What is expand (C(2^X+3^X))/(6^X) ?
The solution to expand (C(2^X+3^X))/(6^X) is C/(3^X)+C/(2^X)