What is expand e^x\times (5x^2-3) ?

The solution to expand e^x\times (5x^2-3) is 5e^xx^2-3e^x

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expand e^x\times (5x^2-3)

expand

e^{x} \cdot (5 x^{2} - 3)

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

Solution steps

e^{x} (5 x^{2} - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = 5 x^{2}, c = 3

= e^{x} \cdot 5 x^{2} - e^{x} \cdot 3

= 5 e^{x} x^{2} - 3 e^{x}

\frac{d}{d y} ((x) (6 x^{3} + 2 x + 9))

4 (\frac{32}{π} - \frac{256}{π ^{3}})

\frac{( 5 x - 8 ) ^{2} x ( 3 + x ) ( 3 - x )}{25}

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

\frac{( ( k + 1 ) ^{2} ( ( k + 1 ) + 1 ) ^{2} )}{4}

What is expand e^x\times (5x^2-3) ?
The solution to expand e^x\times (5x^2-3) is 5e^xx^2-3e^x