What is expand ((x+1)(x+3))/2 ?

The solution to expand ((x+1)(x+3))/2 is (x^2)/2+2x+3/2

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expand ((x+1)(x+3))/2

expand

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

\frac{x ^{2}}{2} + 2 x + \frac{3}{2}

Solution steps

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

Expand

(x + 1) (x + 3) : x^{2} + 4 x + 3

= \frac{x ^{2} + 4 x + 3}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 4 x + 3}{2} = \frac{x ^{2}}{2} + \frac{4 x}{2} + \frac{3}{2}

= \frac{x ^{2}}{2} + \frac{4 x}{2} + \frac{3}{2}

Divide the numbers:

\frac{4}{2} = 2

= \frac{x ^{2}}{2} + 2 x + \frac{3}{2}

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

(2 sin (x) + 1) (2 sin (x) - 1)

(e^{t} + t e^{t})^{2}

(e^{- x} - 2)^{2}

2 x l e f t (3 x^{2} - 5 x + 1)

What is expand ((x+1)(x+3))/2 ?
The solution to expand ((x+1)(x+3))/2 is (x^2)/2+2x+3/2