What is expand cos^2(t)(1-t)(5-t^3) ?

The solution to expand cos^2(t)(1-t)(5-t^3) is 5cos^2(t)-cos^2(t)t^3-5tcos^2(t)+cos^2(t)t^4

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expand cos^2(t)(1-t)(5-t^3)

expand

cos^{2} (t) (1 - t) (5 - t^{3})

5 cos^{2} (t) - cos^{2} (t) t^{3} - 5 t cos^{2} (t) + cos^{2} (t) t^{4}

Solution steps

cos^{2} (t) (1 - t) (5 - t^{3})

Expand

cos^{2} (t) (1 - t) (5 - t^{3}) : cos^{2} (t) (5 - t^{3} - 5 t + t^{4})

= cos^{2} (t) (5 - t^{3} - 5 t + t^{4})

Distribute parentheses

= cos^{2} (t) \cdot 5 + cos^{2} (t) (- t^{3}) + cos^{2} (t) (- 5 t) + cos^{2} (t) t^{4}

Simplify

cos^{2} (t) \cdot 5 + cos^{2} (t) (- t^{3}) + cos^{2} (t) (- 5 t) + cos^{2} (t) t^{4} : 5 cos^{2} (t) - cos^{2} (t) t^{3} - 5 t cos^{2} (t) + cos^{2} (t) t^{4}

= 5 cos^{2} (t) - cos^{2} (t) t^{3} - 5 t cos^{2} (t) + cos^{2} (t) t^{4}

\frac{π ( - 4 ln ( 2 ) + 4 )}{4}

\frac{3 ( 2 cos ( t ) + 1 )}{3}

(3 x^{4} - 2 x^{2} + 1)^{5}

40 (e^{- t} - e^{- 2 t})

- 7 (3 x + 2 y = - 7)

What is expand cos^2(t)(1-t)(5-t^3) ?
The solution to expand cos^2(t)(1-t)(5-t^3) is 5cos^2(t)-cos^2(t)t^3-5tcos^2(t)+cos^2(t)t^4