What is expand 10e^{6x}(3x-2) ?

The solution to expand 10e^{6x}(3x-2) is 30e^{6x}x-20e^{6x}

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expand 10e^{6x}(3x-2)

expand

10 e^{6 x} (3 x - 2)

30 e^{6 x} x - 20 e^{6 x}

Solution steps

10 e^{6 x} (3 x - 2)

Apply the distributive law:

a (b - c) = ab - a c

a = 10 e^{6 x}, b = 3 x, c = 2

= 10 e^{6 x} \cdot 3 x - 10 e^{6 x} \cdot 2

= 10 \cdot 3 e^{6 x} x - 10 \cdot 2 e^{6 x}

Simplify

10 \cdot 3 e^{6 x} x - 10 \cdot 2 e^{6 x} : 30 e^{6 x} x - 20 e^{6 x}

= 30 e^{6 x} x - 20 e^{6 x}

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

(y + x + 2) (d x + d y + d z)

[2 + (6) (3), 2] + 3 (2 - 4)

(x^{2} + y) d x - 2 x y^{2} d y

\frac{( x - 5 ) ( x + 5 )}{x}

What is expand 10e^{6x}(3x-2) ?
The solution to expand 10e^{6x}(3x-2) is 30e^{6x}x-20e^{6x}