What is expand (6x+5)(1/2 e^{2x}) ?

The solution to expand (6x+5)(1/2 e^{2x}) is 3e^{2x}x+5/2 e^{2x}

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expand (6x+5)(1/2 e^{2x})

expand

(6 x + 5) (\frac{1}{2} e^{2 x})

3 e^{2 x} x + \frac{5}{2} e^{2 x}

Solution steps

(6 x + 5) (\frac{1}{2} e^{2 x})

Apply the distributive law:

a (b + c) = ab + a c

a = (\frac{1}{2} e^{2 x}), b = 6 x, c = 5

= (\frac{1}{2} e^{2 x}) \cdot 6 x + (\frac{1}{2} e^{2 x}) \cdot 5

= 6 x (\frac{1}{2} e^{2 x}) + 5 (\frac{1}{2} e^{2 x})

Simplify

6 x (\frac{1}{2} e^{2 x}) + 5 (\frac{1}{2} e^{2 x}) : 3 e^{2 x} x + \frac{5}{2} e^{2 x}

= 3 e^{2 x} x + \frac{5}{2} e^{2 x}

(x^{2 + \frac{1}{x}})^{3}

3 (x + 1) + (x^{1})^{''}

(x + a) e^{3}

(4 - x^{2})^{2}

(15 x^{2} - 14 x) d x - d y

What is expand (6x+5)(1/2 e^{2x}) ?
The solution to expand (6x+5)(1/2 e^{2x}) is 3e^{2x}x+5/2 e^{2x}