What is expand 6(e^{8000}-1)^3 ?

The solution to expand 6(e^{8000}-1)^3 is 6e^{24000}-18e^{16000}+18e^{8000}-6

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expand 6(e^{8000}-1)^3

expand

6 (e^{8000} - 1)^{3}

6 e^{24000} - 18 e^{16000} + 18 e^{8000} - 6

Solution steps

6 (e^{8000} - 1)^{3}

(e^{8000} - 1)^{3} = e^{24000} - 3 e^{16000} + 3 e^{8000} - 1

= 6 (e^{24000} - 3 e^{16000} + 3 e^{8000} - 1)

Distribute parentheses

= 6 e^{24000} + 6 (- 3 e^{16000}) + 6 \cdot 3 e^{8000} + 6 (- 1)

Apply minus-plus rules

+ (- a) = - a

= 6 e^{24000} - 6 \cdot 3 e^{16000} + 6 \cdot 3 e^{8000} - 6 \cdot 1

Simplify

6 e^{24000} - 6 \cdot 3 e^{16000} + 6 \cdot 3 e^{8000} - 6 \cdot 1 : 6 e^{24000} - 18 e^{16000} + 18 e^{8000} - 6

= 6 e^{24000} - 18 e^{16000} + 18 e^{8000} - 6

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What is expand 6(e^{8000}-1)^3 ?
The solution to expand 6(e^{8000}-1)^3 is 6e^{24000}-18e^{16000}+18e^{8000}-6