What is expand (12x(1-x))/(e^{2x)} ?

The solution to expand (12x(1-x))/(e^{2x)} is (12x)/(e^{2x)}-(12x^2)/(e^{2x)}

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expand (12x(1-x))/(e^{2x)}

expand

\frac{12 x ( 1 - x )}{e ^{2 x}}

\frac{12 x}{e ^{2 x}} - \frac{12 x ^{2}}{e ^{2 x}}

Solution steps

\frac{12 x ( 1 - x )}{e ^{2 x}}

Expand

12 x (1 - x) : 12 x - 12 x^{2}

= \frac{12 x - 12 x ^{2}}{e ^{2 x}}

Apply the fraction rule:

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

\frac{12 x - 12 x ^{2}}{e ^{2 x}} = \frac{12 x}{e ^{2 x}} - \frac{12 x ^{2}}{e ^{2 x}}

= \frac{12 x}{e ^{2 x}} - \frac{12 x ^{2}}{e ^{2 x}}

\frac{v - 1}{6 ( v + 7 )}

\frac{( 4 - x )}{x ( ( x + 2 ) ) ( ( x + 1 ) )}

\frac{( - 2 x - h )}{x ^{2} ( x + h ) ^{2}}

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

\frac{( b - 1 ) ^{2} ( a + 1 )}{a ( b - 2 )}

What is expand (12x(1-x))/(e^{2x)} ?
The solution to expand (12x(1-x))/(e^{2x)} is (12x)/(e^{2x)}-(12x^2)/(e^{2x)}