What is expand 10(x-4)((x-4)/2) ?

The solution to expand 10(x-4)((x-4)/2) is 5x^2-40x+80

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expand 10(x-4)((x-4)/2)

expand

10 (x - 4) (\frac{x - 4}{2})

5 x^{2} - 40 x + 80

Solution steps

10 (x - 4) (\frac{x - 4}{2})

Apply rule:

(a) = a

(\frac{x - 4}{2}) = \frac{x - 4}{2}

= 10 (x - 4) \frac{x - 4}{2}

= 10 \cdot \frac{x - 4}{2} (x - 4)

Apply the distributive law:

a (b - c) = ab - a c

10 \cdot \frac{x - 4}{2} (x - 4) = 10 \cdot \frac{x - 4}{2} x - 10 \cdot \frac{x - 4}{2} \cdot 4

= 10 \cdot \frac{x - 4}{2} x - 10 \cdot \frac{x - 4}{2} \cdot 4

Simplify

10 \cdot \frac{x - 4}{2} x - 10 \cdot \frac{x - 4}{2} \cdot 4 : 5 x^{2} - 40 x + 80

= 5 x^{2} - 40 x + 80

(5 x - 1) (9 x^{2} + 6)

\frac{( 20 ( - 3 x ^{2} - 4 ) )}{( x ^{2} - 4 ) ^{3}}

(x + 2 - 2 i) (x - 3 + 5) (x) (x) (x - 1)

V (5, - 3) F (5, 2)

\frac{2 w ^{2} - 64}{w ( w - 8 )}

What is expand 10(x-4)((x-4)/2) ?
The solution to expand 10(x-4)((x-4)/2) is 5x^2-40x+80