Factorize:$x^2 + 2\sqrt{3}x - 24$

Given :

To do :

We have to factorize the given expression.

Solution :

$x^2 +2 \sqrt{3}x - 24=x^{2}+4 \sqrt{3} x- 2\sqrt{3} x-24$                  [Since $4\sqrt{3} x-2\sqrt{3} x=2\sqrt{3} x$ and $4 \sqrt{3} x\times-2\sqrt{3} x=-24\times x^2$]

$=x(x+4\sqrt{3})- 2\sqrt{3}(x+4\sqrt{3})$

$=(x+4 \sqrt{3})(x-2\sqrt{3})$

Hence, $x^2 +2 \sqrt{3}x - 24=(x+4 \sqrt{3})(x-2\sqrt{3})$. 

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Updated on: 10-Oct-2022

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