What is expand 1/2 (x-2)(x-6) ?

The solution to expand 1/2 (x-2)(x-6) is (x^2)/2-4x+6

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expand 1/2 (x-2)(x-6)

expand

\frac{1}{2} (x - 2) (x - 6)

\frac{x ^{2}}{2} - 4 x + 6

Solution steps

\frac{1}{2} (x - 2) (x - 6)

Expand

\frac{1}{2} (x - 2) (x - 6) : \frac{1}{2} (x^{2} - 8 x + 12)

= \frac{1}{2} (x^{2} - 8 x + 12)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

\frac{1}{2} (x^{2} - 8 x + 12) = \frac{1}{2} x^{2} + \frac{1}{2} (- 8 x) + \frac{1}{2} \cdot 12

= \frac{1}{2} x^{2} + \frac{1}{2} (- 8 x) + \frac{1}{2} \cdot 12

Simplify

\frac{1}{2} x^{2} + \frac{1}{2} (- 8 x) + \frac{1}{2} \cdot 12 : \frac{x ^{2}}{2} - 4 x + 6

= \frac{x ^{2}}{2} - 4 x + 6

\frac{2 ( - r + 45 )}{5}

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

\frac{( 6 + x ) ^{2}}{4}

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

\frac{( 25 - yc ) ^{2}}{2}

What is expand 1/2 (x-2)(x-6) ?
The solution to expand 1/2 (x-2)(x-6) is (x^2)/2-4x+6