What is expand 4/n ((n(n+1))/2) ?

The solution to expand 4/n ((n(n+1))/2) is 2n+2

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expand 4/n ((n(n+1))/2)

expand

\frac{4}{n} (\frac{n ( n + 1 )}{2})

2 n + 2

Solution steps

\frac{4}{n} (\frac{n ( n + 1 )}{2})

Remove parentheses:

(a) = a

= \frac{4}{n} \cdot \frac{n ( n + 1 )}{2}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 n ( n + 1 )}{n \cdot 2}

Cancel the common factor:

n

= \frac{4 ( n + 1 )}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 (n + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = 2, b = n, c = 1

= 2 n + 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2 n + 2

- 15 (x cos (θ) - y sin (θ))

p (0, - 4) q (- 3, 0)

(d + 4 e) (d - 7 e)

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\frac{4 ( 7 + 3 2 )}{31}

What is expand 4/n ((n(n+1))/2) ?
The solution to expand 4/n ((n(n+1))/2) is 2n+2