What is expand A(2xe^{4x}+e^{4x}*4x^2) ?

The solution to expand A(2xe^{4x}+e^{4x}*4x^2) is 2Ae^{4x}x+4Ae^{4x}x^2

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expand A(2xe^{4x}+e^{4x}*4x^2)

expand

A (2 x e^{4 x} + e^{4 x} \cdot 4 x^{2})

2 A e^{4 x} x + 4 A e^{4 x} x^{2}

Solution steps

A (2 x e^{4 x} + e^{4 x} \cdot 4 x^{2})

= A (2 e^{4 x} x + 4 e^{4 x} x^{2})

Apply the distributive law:

a (b + c) = ab + a c

a = A, b = 2 x e^{4 x}, c = e^{4 x} \cdot 4 x^{2}

= A \cdot 2 x e^{4 x} + A e^{4 x} \cdot 4 x^{2}

= 2 A e^{4 x} x + 4 A e^{4 x} x^{2}

(11 + cot (x)) (11 - cot (x)) + csc^{2} (x)

(4 x^{\frac{3}{2}} - 2 x^{\frac{1}{2}})^{2}

\frac{- 2 s ^{2} - 6}{( s ^{2} + 4 ) ( s ^{2} - 4 )}

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

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

What is expand A(2xe^{4x}+e^{4x}*4x^2) ?
The solution to expand A(2xe^{4x}+e^{4x}*4x^2) is 2Ae^{4x}x+4Ae^{4x}x^2