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Popular >

expand (1+2e)^3

Solution

expand

(1 + 2 e)^{3}

Solution

1 + 6 e + 12 e^{2} + 8 e^{3}

+1

Decimal Notation

266.66265 \dots

Solution steps

(1 + 2 e)^{3}

Apply Perfect Cube Formula:

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

a = 1, b = 2 e

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

Simplify

1^{3} + 3 \cdot 1^{2} \cdot 2 e + 3 \cdot 1 \cdot (2 e)^{2} + (2 e)^{3} : 1 + 6 e + 12 e^{2} + 8 e^{3}

= 1 + 6 e + 12 e^{2} + 8 e^{3}

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Frequently Asked Questions (FAQ)

What is expand (1+2e)^3 ?
The solution to expand (1+2e)^3 is 1+6e+12e^2+8e^3