What is expand ((a+b)/2)((c-d)/2) ?

The solution to expand ((a+b)/2)((c-d)/2) is (ac)/4-(ad)/4+(bc)/4-(bd)/4

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expand ((a+b)/2)((c-d)/2)

expand

(\frac{a + b}{2}) (\frac{c - d}{2})

\frac{a c}{4} - \frac{a d}{4} + \frac{b c}{4} - \frac{b d}{4}

Solution steps

(\frac{a + b}{2}) (\frac{c - d}{2})

Remove parentheses:

(a) = a

= \frac{a + b}{2} \cdot \frac{c - d}{2}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( a + b ) ( c - d )}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{( a + b ) ( c - d )}{4}

Expand

(a + b) (c - d) : a c - a d + b c - b d

= \frac{a c - a d + b c - b d}{4}

Apply the fraction rule:

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

\frac{a c - a d + b c - b d}{4} = \frac{a c}{4} - \frac{a d}{4} + \frac{b c}{4} - \frac{b d}{4}

= \frac{a c}{4} - \frac{a d}{4} + \frac{b c}{4} - \frac{b d}{4}

(k + 1)! (k + 1)

a (1, 2, 0) b (1, - 1, 2) c (0, 1, 1)

\frac{200 s}{( 9 s + s ^{2} + 10 ) ( s ^{2} + 400 )}

\frac{( 1 - x )}{( x + 1 ) ^{2}}

- \frac{3 u r ^{3} ( u x ^{3} + u r ^{3} )}{x ^{7}}

What is expand ((a+b)/2)((c-d)/2) ?
The solution to expand ((a+b)/2)((c-d)/2) is (ac)/4-(ad)/4+(bc)/4-(bd)/4