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

The solution to expand ((a+b)/2)((a-b)/2) is (a^2)/4-(b^2)/4

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

expand

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

\frac{a ^{2}}{4} - \frac{b ^{2}}{4}

Solution steps

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

Remove parentheses:

(a) = a

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

Multiply fractions:

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

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

Multiply the numbers:

2 \cdot 2 = 4

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

Expand

(a + b) (a - b) : a^{2} - b^{2}

= \frac{a ^{2} - b ^{2}}{4}

Apply the fraction rule:

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

\frac{a ^{2} - b ^{2}}{4} = \frac{a ^{2}}{4} - \frac{b ^{2}}{4}

= \frac{a ^{2}}{4} - \frac{b ^{2}}{4}

\frac{x ^{4} - 4 x ^{3} + 6 x ^{2} ( a + 2 ) \cdot ( b + 3 )}{x ^{2} + 2 x + 1}

\frac{0.1028 x + 0.0842}{( x - 0.9048 ) ( x - 0.6065 )}

- \frac{1}{3} (e^{- 3 (- 3 + t)} - 1)

e^{(- 1 + 2 i) t}

2.7 (5.1 x + 4.9 = 3.2 x + 28.9)

What is expand ((a+b)/2)((a-b)/2) ?
The solution to expand ((a+b)/2)((a-b)/2) is (a^2)/4-(b^2)/4