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(a+b)(a-b) Expansion and Visualisation

Factorize" ...

Question

Factorize" $x^{2} + 3 \sqrt{3} x + 6$

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Solution

$x^{2} + 3 \sqrt{3} x + 6 = x^{2} + \sqrt{3} x + 2 \sqrt{3} x + 6 = x (x + \sqrt{3}) + 2 \sqrt{3} (x + \sqrt{3}) = (x + \sqrt{3}) (x + 2 \sqrt{3})$

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