What is expand 3x^2(4cos(x)+xsin(x)) ?

The solution to expand 3x^2(4cos(x)+xsin(x)) is 12x^2cos(x)+3x^3sin(x)

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expand 3x^2(4cos(x)+xsin(x))

expand

3 x^{2} (4 cos (x) + x sin (x))

12 x^{2} cos (x) + 3 x^{3} sin (x)

Solution steps

3 x^{2} (4 cos (x) + x sin (x))

Apply the distributive law:

a (b + c) = ab + a c

3 x^{2} (4 cos (x) + x sin (x)) = 3 x^{2} \cdot 4 cos (x) + 3 x^{2} x sin (x)

= 3 x^{2} \cdot 4 cos (x) + 3 x^{2} x sin (x)

Simplify

3 x^{2} \cdot 4 cos (x) + 3 x^{2} x sin (x) : 12 x^{2} cos (x) + 3 x^{3} sin (x)

= 12 x^{2} cos (x) + 3 x^{3} sin (x)

(e^{\frac{x}{2}} - e^{- \frac{x}{2}})^{2}

5 δ (x - 5) (y)

\frac{55}{( x + 7 ) ^{2}}

\frac{f ( x + h ) - f ( 7 x ^{2} - 6 )}{h}

35000 (1 - (1 + 234)^{- 25333})

What is expand 3x^2(4cos(x)+xsin(x)) ?
The solution to expand 3x^2(4cos(x)+xsin(x)) is 12x^2cos(x)+3x^3sin(x)