What is expand 2sin^2(2t)+2(e^t-2)^2 ?

The solution to expand 2sin^2(2t)+2(e^t-2)^2 is 2sin^2(2t)+2e^{2t}-8e^t+8

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expand 2sin^2(2t)+2(e^t-2)^2

expand

2 sin^{2} (2 t) + 2 (e^{t} - 2)^{2}

2 sin^{2} (2 t) + 2 e^{2 t} - 8 e^{t} + 8

Solution steps

2 sin^{2} (2 t) + 2 (e^{t} - 2)^{2}

(e^{t} - 2)^{2} = e^{2 t} - 4 e^{t} + 4

= 2 sin^{2} (2 t) + 2 (- 4 e^{t} + e^{2 t} + 4)

Expand

2 (e^{2 t} - 4 e^{t} + 4) : 2 e^{2 t} - 8 e^{t} + 8

= 2 sin^{2} (2 t) + 2 e^{2 t} - 8 e^{t} + 8

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

lo g_{5} (x) (x + 2)

(cos (x)) (1 + cos (x))

4 (x + Δ x)^{2}

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

What is expand 2sin^2(2t)+2(e^t-2)^2 ?
The solution to expand 2sin^2(2t)+2(e^t-2)^2 is 2sin^2(2t)+2e^{2t}-8e^t+8