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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

Simplify

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

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

x (x^{2} + y^{2}) x^{2} + y^{2}

50 ln (- 5) + 50 - \frac{25 ( 12 ln ( - 5 ) + 11 )}{6}

(40 - x)^{2}

(\frac{x ^{2} - 4}{x} - k)^{2}

5 (2 - 5)

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