Perform the indicated operation. Simplify, if possible. $( 3 \sqrt { x + 3 } - 3 ) ^ { 2 }$
A) $9 x + 36$
B) $9 x + 36 - 18 \sqrt { x + 3 }$
C) $9 x + 27$
D) $9 x + 36 - 9 \sqrt { x + 3 }$

Question

Quizplus · Accepted Answer

To solve $(3\sqrt{x + 3} - 3)^2$, we apply the formula $(a - b)^2 = a^2 - 2ab + b^2$, where $a = 3\sqrt{x + 3}$ and $b = 3$. Squaring both terms and subtracting twice their product gives $9(x + 3) - 2(3\sqrt{x + 3})(3) + 3^2 = 9x + 27 - 18\sqrt{x + 3} + 9 = 9x + 36 - 18\sqrt{x + 3}$.

Perform the Indicated Operation (3x+3−3)2( 3 \sqrt { x + 3 } - 3 ) ^ { 2 }(3x+3​−3)2

Perform the Indicated Operation $( 3 \sqrt { x + 3 } - 3 ) ^ { 2 }$