What is expand (tsin(t^2))(2t^2cos(t^2)+sin(t^2)) ?

The solution to expand (tsin(t^2))(2t^2cos(t^2)+sin(t^2)) is t^3sin(2t^2)+tsin^2(t^2)

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expand (tsin(t^2))(2t^2cos(t^2)+sin(t^2))

expand

(t sin (t^{2})) (2 t^{2} cos (t^{2}) + sin (t^{2}))

t^{3} sin (2 t^{2}) + t sin^{2} (t^{2})

Solution steps

(t sin (t^{2})) (2 t^{2} cos (t^{2}) + sin (t^{2}))

Apply the distributive law:

a (b + c) = ab + a c

(t sin (t^{2})) (2 t^{2} cos (t^{2}) + sin (t^{2})) = t sin (t^{2}) \cdot 2 t^{2} cos (t^{2}) + t sin (t^{2}) sin (t^{2})

= t sin (t^{2}) \cdot 2 t^{2} cos (t^{2}) + t sin (t^{2}) sin (t^{2})

Simplify

t sin (t^{2}) \cdot 2 t^{2} cos (t^{2}) + t sin (t^{2}) sin (t^{2}) : t^{3} sin (2 t^{2}) + t sin^{2} (t^{2})

= t^{3} sin (2 t^{2}) + t sin^{2} (t^{2})

\frac{π ( 63 t + 22 )}{9 t ^{2} + 12 t + 4}

(cos^{2} (x) - 2 sin (x))^{2}

(12) (8) (- 8) (- 12)

\frac{( 2 x + y ^{3} ) ^{2}}{x ^{2} + y ^{4}}

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

What is expand (tsin(t^2))(2t^2cos(t^2)+sin(t^2)) ?
The solution to expand (tsin(t^2))(2t^2cos(t^2)+sin(t^2)) is t^3sin(2t^2)+tsin^2(t^2)