What is expand ((x+82)(x+40))/2 ?

The solution to expand ((x+82)(x+40))/2 is (x^2)/2+61x+1640

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expand ((x+82)(x+40))/2

expand

\frac{( x + 82 ) ( x + 40 )}{2}

\frac{x ^{2}}{2} + 61 x + 1640

Solution steps

\frac{( x + 82 ) ( x + 40 )}{2}

Expand

(x + 82) (x + 40) : x^{2} + 122 x + 3280

= \frac{x ^{2} + 122 x + 3280}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 122 x + 3280}{2} = \frac{x ^{2}}{2} + \frac{122 x}{2} + \frac{3280}{2}

= \frac{x ^{2}}{2} + \frac{122 x}{2} + \frac{3280}{2}

Divide the numbers:

\frac{122}{2} = 61

= \frac{x ^{2}}{2} + 61 x + \frac{3280}{2}

Divide the numbers:

\frac{3280}{2} = 1640

= \frac{x ^{2}}{2} + 61 x + 1640

\frac{( x + 87 ) ( x + 20 )}{2}

g (b + e)

(3 x^{2} - 2 y^{2}) d y

2 - 3 (x^{2} + 2Δ x + Δ x^{2})

\frac{( 3244 - 283 x ) 3}{5}

What is expand ((x+82)(x+40))/2 ?
The solution to expand ((x+82)(x+40))/2 is (x^2)/2+61x+1640