Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
-$( 8 \sqrt { 3 } - 3 ) ^ { 2 }$
A) $183 - 48 \sqrt { 3 }$
B) $189 - 48 \sqrt { 3 }$
C) $201 + 48 \sqrt { 3 }$
D) $201 - 48 \sqrt { 3 }$

Question

Quizplus · Accepted Answer

Using the formula $(a-b)^2 = a^2 - 2ab + b^2$, we have $a = 8\sqrt{3}$ and $b = 3$. Calculating gives $a^2 = 192$, $2ab = 48\sqrt{3}$, and $b^2 = 9$. Thus, the expression simplifies to $201 - 48\sqrt{3}$.

Multiply, and Then Simplify If Possible (83−3)2( 8 \sqrt { 3 } - 3 ) ^ { 2 }(83​−3)2

Multiply, and Then Simplify If Possible $( 8 \sqrt { 3 } - 3 ) ^ { 2 }$