What is expand (e^x+3)(sin(x)+ln(x)) ?

The solution to expand (e^x+3)(sin(x)+ln(x)) is e^xsin(x)+e^xln(x)+3sin(x)+3ln(x)

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expand (e^x+3)(sin(x)+ln(x))

expand

(e^{x} + 3) (sin (x) + ln (x))

e^{x} sin (x) + e^{x} ln (x) + 3 sin (x) + 3 ln (x)

Solution steps

(e^{x} + 3) (sin (x) + ln (x))

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = e^{x}, b = 3, c = sin (x), d = ln (x)

= e^{x} sin (x) + e^{x} ln (x) + 3 sin (x) + 3 ln (x)

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

2 ab c (a + b + c)^{3}

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

\frac{( n ( n + 1 ) ( n + 2 ) )}{6}

(e^{3 x} + 1)^{2}

What is expand (e^x+3)(sin(x)+ln(x)) ?
The solution to expand (e^x+3)(sin(x)+ln(x)) is e^xsin(x)+e^xln(x)+3sin(x)+3ln(x)