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Popular >

expand (3e-5)^3

Solution

expand

(3 e - 5)^{3}

Solution

27 e^{3} - 135 e^{2} + 225 e - 125

+1

Decimal Notation

31.40033 \dots

Solution steps

(3 e - 5)^{3}

Apply Perfect Cube Formula:

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

a = 3 e, b = 5

= (3 e)^{3} - 3 (3 e)^{2} \cdot 5 + 3 \cdot 3 e 5^{2} - 5^{3}

Simplify

(3 e)^{3} - 3 (3 e)^{2} \cdot 5 + 3 \cdot 3 e 5^{2} - 5^{3} : 27 e^{3} - 135 e^{2} + 225 e - 125

= 27 e^{3} - 135 e^{2} + 225 e - 125

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Frequently Asked Questions (FAQ)

What is expand (3e-5)^3 ?
The solution to expand (3e-5)^3 is 27e^3-135e^2+225e-125