What is expand (x^2-2x)frace^{2x}2 ?

The solution to expand (x^2-2x)frace^{2x}2 is 2ace^{2x}x^2fr-4ace^{2x}xfr

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expand (x^2-2x)frace^{2x}2

expand

(x^{2} - 2 x) f r a c e^{2 x} 2

2 a c e^{2 x} x^{2} f r - 4 a c e^{2 x} x f r

Solution steps

(x^{2} - 2 x) f r a c e^{2 x} \cdot 2

= 2 a c e^{2 x} f r (x^{2} - 2 x)

Apply the distributive law:

a (b - c) = ab - a c

a = f r a c e^{2 x} \cdot 2, b = x^{2}, c = 2 x

= f r a c e^{2 x} \cdot 2 x^{2} - f r a c e^{2 x} \cdot 2 \cdot 2 x

= 2 a c e^{2 x} x^{2} f r - 2 \cdot 2 a c e^{2 x} x f r

Multiply the numbers:

2 \cdot 2 = 4

= 2 a c e^{2 x} x^{2} f r - 4 a c e^{2 x} x f r

tan (x) (tan (x) + 1)

(x + \frac{1}{x ^{2}})^{7}

(e^{3 x} + 3 e^{3 x} x) e^{3 x}

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

\frac{s - 6}{( s ^{2} - 1 ) ( s ^{2} + 4 )}

What is expand (x^2-2x)frace^{2x}2 ?
The solution to expand (x^2-2x)frace^{2x}2 is 2ace^{2x}x^2fr-4ace^{2x}xfr