What is expand (a^2+b^2)(e^{ax}sin(bx)) ?

The solution to expand (a^2+b^2)(e^{ax}sin(bx)) is a^2e^{ax}sin(bx)+b^2e^{ax}sin(bx)

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expand (a^2+b^2)(e^{ax}sin(bx))

expand

(a^{2} + b^{2}) (e^{a x} sin (b x))

a^{2} e^{a x} sin (b x) + b^{2} e^{a x} sin (b x)

Solution steps

(a^{2} + b^{2}) (e^{a x} sin (b x))

Apply the distributive law:

a (b + c) = ab + a c

a = (e^{a x} sin (b x)), b = a^{2}, c = b^{2}

= (e^{a x} sin (b x)) a^{2} + (e^{a x} sin (b x)) b^{2}

= a^{2} (e^{a x} sin (b x)) + b^{2} (e^{a x} sin (b x))

Remove parentheses:

(a) = a

= a^{2} e^{a x} sin (b x) + b^{2} e^{a x} sin (b x)

\frac{5}{s ( s ^{2} + 2 s + 5 )}

\frac{s ^{2} + 9}{( s + 7 ) ( s - 9 )}

ro t a c i o na l (- 8 yz, 2 z, - x)

\frac{3}{4} (1 - (- \frac{1}{3})^{k + 1})

\frac{( 86 s - 78 )}{( s + 3 ) ( s - 4 ) ( 5 s - 1 )}

What is expand (a^2+b^2)(e^{ax}sin(bx)) ?
The solution to expand (a^2+b^2)(e^{ax}sin(bx)) is a^2e^{ax}sin(bx)+b^2e^{ax}sin(bx)