What is expand (e^xcos(x)-sin(x)e^x)(13e^x) ?

The solution to expand (e^xcos(x)-sin(x)e^x)(13e^x) is 13e^{2x}cos(x)-13e^{2x}sin(x)

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expand (e^xcos(x)-sin(x)e^x)(13e^x)

expand

(e^{x} cos (x) - sin (x) e^{x}) (13 e^{x})

13 e^{2 x} cos (x) - 13 e^{2 x} sin (x)

Solution steps

(e^{x} cos (x) - sin (x) e^{x}) (13 e^{x})

= (e^{x} cos (x) - e^{x} sin (x)) (13 e^{x})

Apply the distributive law:

a (b - c) = ab - a c

a = (13 e^{x}), b = e^{x} cos (x), c = sin (x) e^{x}

= (13 e^{x}) e^{x} cos (x) - (13 e^{x}) sin (x) e^{x}

= e^{x} cos (x) (13 e^{x}) - e^{x} sin (x) (13 e^{x})

Simplify

e^{x} cos (x) (13 e^{x}) - e^{x} sin (x) (13 e^{x}) : 13 e^{2 x} cos (x) - 13 e^{2 x} sin (x)

= 13 e^{2 x} cos (x) - 13 e^{2 x} sin (x)

cos (5 (t - \frac{π}{6})) U (t - \frac{π}{6})

\frac{11}{10} 3 - 73

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

72 - 2 b (32 + 82 b + b)

\frac{x + 2}{4 ( x - 3 )}

What is expand (e^xcos(x)-sin(x)e^x)(13e^x) ?
The solution to expand (e^xcos(x)-sin(x)e^x)(13e^x) is 13e^{2x}cos(x)-13e^{2x}sin(x)