What is expand ((n+1)(3n+7))/2 ?

The solution to expand ((n+1)(3n+7))/2 is (3n^2)/2+5n+7/2

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expand ((n+1)(3n+7))/2

expand

\frac{( n + 1 ) ( 3 n + 7 )}{2}

\frac{3 n ^{2}}{2} + 5 n + \frac{7}{2}

Solution steps

\frac{( n + 1 ) ( 3 n + 7 )}{2}

Expand

(n + 1) (3 n + 7) : 3 n^{2} + 10 n + 7

= \frac{3 n ^{2} + 10 n + 7}{2}

Apply the fraction rule:

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

\frac{3 n ^{2} + 10 n + 7}{2} = \frac{3 n ^{2}}{2} + \frac{10 n}{2} + \frac{7}{2}

= \frac{3 n ^{2}}{2} + \frac{10 n}{2} + \frac{7}{2}

Divide the numbers:

\frac{10}{2} = 5

= \frac{3 n ^{2}}{2} + 5 n + \frac{7}{2}

\frac{a ^{2} + 8}{( a - 10 ) ( a + 10 )}

\frac{- 2 s ^{3} + 4 s ^{2} + 6 s + 18}{s ^{2} ( s ^{2} + 6 )}

cos (5) (1 - 4 x^{2})

(\frac{3 A - 3 C}{8})^{2}

\frac{( 2 x ( x + 1 ) ( x - 4 ) )}{( x + 2 ) ( x - 3 ) ( x - 1 )}

What is expand ((n+1)(3n+7))/2 ?
The solution to expand ((n+1)(3n+7))/2 is (3n^2)/2+5n+7/2