What is expand sin(6)(2e^{5x^4}x+20e^{5x^4}x^5) ?

The solution to expand sin(6)(2e^{5x^4}x+20e^{5x^4}x^5) is 2sin(6)e^{5x^4}x+20sin(6)e^{5x^4}x^5

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expand sin(6)(2e^{5x^4}x+20e^{5x^4}x^5)

expand

sin (6) (2 e^{5 x^{4}} x + 20 e^{5 x^{4}} x^{5})

2 sin (6) e^{5 x^{4}} x + 20 sin (6) e^{5 x^{4}} x^{5}

Solution steps

sin (6) (2 e^{5 x^{4}} x + 20 e^{5 x^{4}} x^{5})

Apply the distributive law:

a (b + c) = ab + a c

a = sin (6), b = 2 e^{5 x^{4}} x, c = 20 e^{5 x^{4}} x^{5}

= sin (6) \cdot 2 e^{5 x^{4}} x + sin (6) \cdot 20 e^{5 x^{4}} x^{5}

= 2 sin (6) e^{5 x^{4}} x + 20 sin (6) e^{5 x^{4}} x^{5}

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

\frac{1}{2} + \frac{3}{32} (4 \cdot 1.1 - \frac{1. 1 ^{3}}{3})

\frac{d}{d t} ((x) ((t^{3} e^{2 (- 3 + 4 t)})))

\frac{( - 4 y + 1 ) ( 12 x ^{2} - 8 x y - 6 x + 16 y ^{2} + 4 y + 1 )}{8}

What is expand sin(6)(2e^{5x^4}x+20e^{5x^4}x^5) ?
The solution to expand sin(6)(2e^{5x^4}x+20e^{5x^4}x^5) is 2sin(6)e^{5x^4}x+20sin(6)e^{5x^4}x^5