What is expand ((4x-x^2),(4-x)^2)*(-1,4-2x) ?

The solution to expand ((4x-x^2),(4-x)^2)*(-1,4-2x) is -1*(,(4x-x^2)(4-x)^2),4-2x(,(4x-x^2)(4-x)^2)

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expand ((4x-x^2),(4-x)^2)*(-1,4-2x)

expand

((4 x - x^{2}), (4 - x)^{2}) \cdot (- 1, 4 - 2 x)

- 1 \cdot (, (4 x - x^{2}) (4 - x)^{2}), 4 - 2 x (, (4 x - x^{2}) (4 - x)^{2})

Solution steps

((4 x - x^{2}), (4 - x)^{2}) (- 1, 4 - 2 x)

= (, (4 x - x^{2}) (4 - x)^{2}) (- 1 \cdot 4, - 2 x)

Apply the distributive law:

a (b - c) = ab - a c

a = ((4 x - x^{2}), (4 - x)^{2}), b = - 1, 4, c = 2 x

= ((4 x - x^{2}), (4 - x)^{2}) (- 1, 4) - ((4 x - x^{2}), (4 - x)^{2}) \cdot 2 x

Apply minus-plus rules

+ (- a) = - a

= - 1 \cdot (, (4 x - x^{2}) (4 - x)^{2}), 4 - 2 x (, (4 x - x^{2}) (4 - x)^{2})

(x + 35) (x - 35)

(1 + i)^{10}

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

(x^{2} + \frac{1}{x ^{2}}) (x^{3} + \frac{1}{x ^{3}})

What is expand ((4x-x^2),(4-x)^2)*(-1,4-2x) ?
The solution to expand ((4x-x^2),(4-x)^2)*(-1,4-2x) is -1*(,(4x-x^2)(4-x)^2),4-2x(,(4x-x^2)(4-x)^2)