Simplify ((1 + 2sqrt{3})^{2} – (1 – 2sqrt{3})^{2})
-
A.
0 -
B.
(8sqrt{3}) -
C.
13 -
D.
(2 – 4sqrt{3})
Correct Answer: Option B
Explanation
((1 + 2sqrt{3})^{2} = 1 + 4sqrt{3} + 12 = 13 + 4sqrt{3})
((1 – 2sqrt{3})^{2} = 1 – 4sqrt{3} + 12 = 13 – 4sqrt{3})
(13 + 4sqrt{3} – (13 – 4sqrt{3}) = 13 + 4sqrt{3} – 13 + 4sqrt{3})
= (8sqrt{3})