What is expand cos((1-t^6)*(t^4-2t)^2) ?

The solution to expand cos((1-t^6)*(t^4-2t)^2) is cos(-t^{14}+4t^{11}-3t^8-4t^5+4t^2)

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expand cos((1-t^6)*(t^4-2t)^2)

expand

cos ((1 - t^{6}) \cdot (t^{4} - 2 t)^{2})

cos (- t^{14} + 4 t^{11} - 3 t^{8} - 4 t^{5} + 4 t^{2})

Solution steps

cos ((1 - t^{6}) (t^{4} - 2 t)^{2})

(t^{4} - 2 t)^{2} = t^{8} - 4 t^{5} + 4 t^{2}

= cos ((- t^{6} + 1) (t^{8} - 4 t^{5} + 4 t^{2}))

Expand

(1 - t^{6}) (t^{8} - 4 t^{5} + 4 t^{2}) : - t^{14} + 4 t^{11} - 3 t^{8} - 4 t^{5} + 4 t^{2}

= cos (- t^{14} + 4 t^{11} - 3 t^{8} - 4 t^{5} + 4 t^{2})

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What is expand cos((1-t^6)*(t^4-2t)^2) ?
The solution to expand cos((1-t^6)*(t^4-2t)^2) is cos(-t^{14}+4t^{11}-3t^8-4t^5+4t^2)