What is expand 6(e^2-1)^3 ?

The solution to expand 6(e^2-1)^3 is 6e^6-18e^4+18e^2-6

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expand 6(e^2-1)^3

expand

6 (e^{2} - 1)^{3}

6 e^{6} - 18 e^{4} + 18 e^{2} - 6

Decimal Notation

1564.80907 \dots

Solution steps

6 (e^{2} - 1)^{3}

(e^{2} - 1)^{3} = e^{6} - 3 e^{4} + 3 e^{2} - 1

= 6 (e^{6} - 3 e^{4} + 3 e^{2} - 1)

Distribute parentheses

= 6 e^{6} + 6 (- 3 e^{4}) + 6 \cdot 3 e^{2} + 6 (- 1)

Apply minus-plus rules

+ (- a) = - a

= 6 e^{6} - 6 \cdot 3 e^{4} + 6 \cdot 3 e^{2} - 6 \cdot 1

Simplify

6 e^{6} - 6 \cdot 3 e^{4} + 6 \cdot 3 e^{2} - 6 \cdot 1 : 6 e^{6} - 18 e^{4} + 18 e^{2} - 6

= 6 e^{6} - 18 e^{4} + 18 e^{2} - 6

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What is expand 6(e^2-1)^3 ?
The solution to expand 6(e^2-1)^3 is 6e^6-18e^4+18e^2-6