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

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

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

expand

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

k^{2} + \frac{5 k}{2} + 1

Solution steps

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

Expand

(2 k + 1) (k + 2) : 2 k^{2} + 5 k + 2

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

Apply the fraction rule:

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

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

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

Apply rule

\frac{a}{a} = 1

\frac{2}{2} = 1

= \frac{2 k ^{2}}{2} + \frac{5 k}{2} + 1

Divide the numbers:

\frac{2}{2} = 1

= k^{2} + \frac{5 k}{2} + 1

\frac{4 ( k + 2 ) ^{2} ( k + 1 )}{3}

\frac{d}{d t} ((x) (6 t^{2} - t^{3}))

\frac{d}{d x} ((y^{3}) c (x - c)^{2})

(x^{2} - 2 x - 3)^{5}

(8 x - 20) \circ

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