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Popular >

expand (e-1)^3

Solution

expand

(e - 1)^{3}

Solution

e^{3} - 3 e^{2} + 3 e - 1

+1

Decimal Notation

5.07321 \dots

Solution steps

(e - 1)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

a = e, b = 1

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

Simplify

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

= e^{3} - 3 e^{2} + 3 e - 1

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Frequently Asked Questions (FAQ)

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