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Algebraic Identities

Simplify: 4...

Question

Simplify: ${(4 \sqrt{3} - 3 \sqrt{5})}^{2}$ .

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Solution

$(4 \sqrt{3} - 3 {\sqrt{5}}^{2})$
$\Rightarrow (4 \sqrt{3})^{2} + (3 \sqrt{5})^{2} - 2 (4 \sqrt{3}) (3 \sqrt{5})$
$\Rightarrow 16 (3) + 9 (5) - 24 \sqrt{15}$
$\Rightarrow 93 - 24 \sqrt{15}$

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