What is expand ((k+1)(k+10))/2 ?

The solution to expand ((k+1)(k+10))/2 is (k^2)/2+(11k)/2+5

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expand ((k+1)(k+10))/2

expand

\frac{( k + 1 ) ( k + 10 )}{2}

\frac{k ^{2}}{2} + \frac{11 k}{2} + 5

Solution steps

\frac{( k + 1 ) ( k + 10 )}{2}

Expand

(k + 1) (k + 10) : k^{2} + 11 k + 10

= \frac{k ^{2} + 11 k + 10}{2}

Apply the fraction rule:

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

\frac{k ^{2} + 11 k + 10}{2} = \frac{k ^{2}}{2} + \frac{11 k}{2} + \frac{10}{2}

= \frac{k ^{2}}{2} + \frac{11 k}{2} + \frac{10}{2}

Divide the numbers:

\frac{10}{2} = 5

= \frac{k ^{2}}{2} + \frac{11 k}{2} + 5

(1 - \frac{t ^{2}}{2} + \frac{t ^{4}}{24})^{2}

lo g_{10} (x^{3} y^{- 6})

\frac{28 e ^{- 20 s + a}}{( s - 7 ) ^{2}}

\frac{1}{( s + 1 ) ( s ^{2} + 1 )}

(1 + t e^{- t})^{3}

What is expand ((k+1)(k+10))/2 ?
The solution to expand ((k+1)(k+10))/2 is (k^2)/2+(11k)/2+5