Question:
Factorise:
$\sqrt{3} x^{2}+10 x+8 \sqrt{3}$
Solution:
$\sqrt{3} x^{2}+10 x+8 \sqrt{3}=\sqrt{3} x^{2}+6 x+4 x+8 \sqrt{3}$
$=\sqrt{3} x(x+2 \sqrt{3})+4(x+2 \sqrt{3})$
$=(x+2 \sqrt{3})(\sqrt{3} x+4)$
Hence, factorisation of $\sqrt{3} x^{2}+10 x+8 \sqrt{3}$ is $(x+2 \sqrt{3})(\sqrt{3} x+4)$.
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