What is expand (x^2-4)e^{3x} ?

The solution to expand (x^2-4)e^{3x} is e^{3x}x^2-4e^{3x}

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expand (x^2-4)e^{3x}

expand

(x^{2} - 4) e^{3 x}

e^{3 x} x^{2} - 4 e^{3 x}

Solution steps

(x^{2} - 4) e^{3 x}

= e^{3 x} (x^{2} - 4)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{3 x}, b = x^{2}, c = 4

= e^{3 x} x^{2} - e^{3 x} \cdot 4

= e^{3 x} x^{2} - 4 e^{3 x}

3 (1 - e^{- 0.035 t})

\frac{x ^{3} - 4 x ^{2} + 2 x - 5}{( 2 x - 4 ) ^{2}}

- \frac{6 x ^{2} - 8 x + 3}{( x - 1 ) ^{3}}

(x y^{2} - e^{x^{\frac{1}{3}}}) d x - x^{2} y d y

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

What is expand (x^2-4)e^{3x} ?
The solution to expand (x^2-4)e^{3x} is e^{3x}x^2-4e^{3x}