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Popular >

simplify (1-sqrt(3))^3

Solution

simplify

(1 - 3)^{3}

Solution

10 - 63

+1

Solution steps

(1 - 3)^{3}

Apply Perfect Cube Formula:

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

a = 1, b = 3

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

Simplify

1^{3} - 3 \cdot 1^{2} 3 + 3 \cdot 1 \cdot (3)^{2} - (3)^{3} : 10 - 63

= 10 - 63

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Frequently Asked Questions (FAQ)

What is (1-sqrt(3))^3 ?
The solution to (1-sqrt(3))^3 is 10-6sqrt(3)