What is expand ((a+m)(a+n))/2 ?

The solution to expand ((a+m)(a+n))/2 is (a^2)/2+(na)/2+(am)/2+(nm)/2

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expand ((a+m)(a+n))/2

expand

\frac{( a + m ) ( a + n )}{2}

\frac{a ^{2}}{2} + \frac{na}{2} + \frac{am}{2} + \frac{nm}{2}

Solution steps

\frac{( a + m ) ( a + n )}{2}

Expand

(a + m) (a + n) : a^{2} + na + am + nm

= \frac{a ^{2} + na + am + nm}{2}

Apply the fraction rule:

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

\frac{a ^{2} + na + am + nm}{2} = \frac{a ^{2}}{2} + \frac{na}{2} + \frac{am}{2} + \frac{nm}{2}

= \frac{a ^{2}}{2} + \frac{na}{2} + \frac{am}{2} + \frac{nm}{2}

2 (x)^{2} + (x + 1) - 3

\frac{2 ( x + 21 )}{( x + 75 )}

(x - 3 y - 5 z = 0) (6, 4, 9)

\frac{z ( z + 5 )}{( z + 2 ) ( z + 3 )}

(x + 1) \cdot 3 e^{x}

What is expand ((a+m)(a+n))/2 ?
The solution to expand ((a+m)(a+n))/2 is (a^2)/2+(na)/2+(am)/2+(nm)/2