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Popular >

simplify (sqrt(3)+1)^3

Solution

simplify

(3 + 1)^{3}

Solution

63 + 10

+1

Solution steps

(3 + 1)^{3}

Apply Perfect Cube Formula:

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

a = 3, b = 1

= (3)^{3} + 3 (3)^{2} \cdot 1 + 33 \cdot 1^{2} + 1^{3}

Simplify

(3)^{3} + 3 (3)^{2} \cdot 1 + 33 \cdot 1^{2} + 1^{3} : 63 + 10

= 63 + 10

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Frequently Asked Questions (FAQ)

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