What is expand (sin(x)(x^2+6))/3 ?

The solution to expand (sin(x)(x^2+6))/3 is (x^2sin(x))/3+2sin(x)

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expand (sin(x)(x^2+6))/3

expand

\frac{sin ( x ) ( x ^{2} + 6 )}{3}

\frac{x ^{2} sin ( x )}{3} + 2 sin (x)

Solution steps

\frac{sin ( x ) ( x ^{2} + 6 )}{3}

Expand

sin (x) (x^{2} + 6) : x^{2} sin (x) + 6 sin (x)

= \frac{x ^{2} sin ( x ) + 6 sin ( x )}{3}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{2} sin ( x ) + 6 sin ( x )}{3} = \frac{x ^{2} sin ( x )}{3} + \frac{6 sin ( x )}{3}

= \frac{x ^{2} sin ( x )}{3} + \frac{6 sin ( x )}{3}

Divide the numbers:

\frac{6}{3} = 2

= \frac{x ^{2} sin ( x )}{3} + 2 sin (x)

\frac{10}{( s ( s + 2 ) ( s + 3 ) ^{2} )}

(2 - 4 t, (2 - 4 t)^{2} - 4) (- 4, 16 + 32 t)

\frac{u I θ ( a - b )}{4 π}

\frac{2 sin ( θ ) ( sin ( θ ) + 1 )}{1 + sin ( θ ) + cos ( θ )}

\frac{3 ( 12 n ^{2} + 15 n + 3 )}{2 n ^{2}}

What is expand (sin(x)(x^2+6))/3 ?
The solution to expand (sin(x)(x^2+6))/3 is (x^2sin(x))/3+2sin(x)