What is expand 3(e^xx+2e^x) ?

The solution to expand 3(e^xx+2e^x) is 3e^xx+6e^x

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expand 3(e^xx+2e^x)

expand

3 (e^{x} x + 2 e^{x})

3 e^{x} x + 6 e^{x}

Solution steps

3 (e^{x} x + 2 e^{x})

Apply the distributive law:

a (b + c) = ab + a c

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

= 3 e^{x} x + 3 \cdot 2 e^{x}

Multiply the numbers:

3 \cdot 2 = 6

= 3 e^{x} x + 6 e^{x}

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

2 sec (\frac{π}{4} (x + 3))

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

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

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