What is expand (tan(x)+4)(tan^2(x)-4tan(x)+16) ?

The solution to expand (tan(x)+4)(tan^2(x)-4tan(x)+16) is tan^3(x)+64

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expand (tan(x)+4)(tan^2(x)-4tan(x)+16)

expand

(tan (x) + 4) (tan^{2} (x) - 4 tan (x) + 16)

tan^{3} (x) + 64

Solution steps

(tan (x) + 4) (tan^{2} (x) - 4 tan (x) + 16)

Distribute parentheses

= tan (x) tan^{2} (x) + tan (x) (- 4 tan (x)) + tan (x) \cdot 16 + 4 tan^{2} (x) + 4 (- 4 tan (x)) + 4 \cdot 16

Simplify

tan (x) tan^{2} (x) + tan (x) (- 4 tan (x)) + tan (x) \cdot 16 + 4 tan^{2} (x) + 4 (- 4 tan (x)) + 4 \cdot 16 : tan^{3} (x) + 64

= tan^{3} (x) + 64

10 - 20 (e^{- 0.2 x} - e^{- 0.75 x})

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What is expand (tan(x)+4)(tan^2(x)-4tan(x)+16) ?
The solution to expand (tan(x)+4)(tan^2(x)-4tan(x)+16) is tan^3(x)+64