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

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

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expand 3x^2(x^2+sin(4x))

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

3 x^{2} x^{2} : 3 x^{4}

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

(n + \frac{1}{n})^{3}

(cos (x) + i sin (x))^{7}

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

\frac{sin ( z )}{( z - 1 ) ( z + 1 ) ^{2}}

x (x + 2)^{2}

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