What is (4sqrt(3)-sqrt(27))^2 ?

The solution to (4sqrt(3)-sqrt(27))^2 is 3

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simplify (4sqrt(3)-sqrt(27))^2

simplify

(43 - 27)^{2}

3

Solution steps

(43 - 27)^{2}

Apply Perfect Square Formula:

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

(43 - 27)^{2} = (43)^{2} - 2 \cdot 4327 + (27)^{2}

= (43)^{2} - 2 \cdot 4327 + (27)^{2}

(43)^{2} - 2 \cdot 4327 + (27)^{2} = 3

= 3

\frac{2 ^{4} 3 ^{2}}{2 ^{3}}

- 3 \times - 3

6 x^{3} - 18 x^{2}

\frac{2 + 4 i}{2}

4 x^{3} - 28 x^{2} + 56 x - 32