Question

1. simplify the expression below.

$(4\sqrt{3} - 1)(\sqrt{3} - 6)$

Explanation:

Step1: Apply FOIL method

$(4\sqrt{3})(\sqrt{3}) + (4\sqrt{3})(-6) + (-1)(\sqrt{3}) + (-1)(-6)$

Step2: Calculate each term

$4\times3 -24\sqrt{3} - \sqrt{3} +6$

Step3: Simplify constants

$12 +6 -24\sqrt{3} - \sqrt{3}$

Step4: Combine like terms

$18 -25\sqrt{3}$

Answer:

$18 -25\sqrt{3}$