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Popular >

expand-(3(-3^n-1))/4

Solution

expand

- \frac{3 ( - 3 ^{n} - 1 )}{4}

Solution

\frac{3 ^{1 + n}}{4} + \frac{3}{4}

Solution steps

- \frac{3 ( - 3 ^{n} - 1 )}{4}

Expand

3 (- 3^{n} - 1) : - 3^{1 + n} - 3

= - \frac{- 3 ^{n + 1} - 3}{4}

Apply the fraction rule:

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

\frac{- 3 ^{1 + n} - 3}{4} = - (- \frac{3 ^{1 + n}}{4}) - (- \frac{3}{4})

= - (- \frac{3 ^{n + 1}}{4}) - (- \frac{3}{4})

Apply rule

- (- a) = a

= \frac{3 ^{1 + n}}{4} + \frac{3}{4}

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Frequently Asked Questions (FAQ)

What is expand-(3(-3^n-1))/4 ?
The solution to expand-(3(-3^n-1))/4 is (3^{1+n})/4+3/4