Perform the indicated operations. Assume that all variables represent positive numbers.
-$( \sqrt { x } - 18 ) ^ { 2 }$
A) $x - 36 \sqrt { x } + 324$
B) $x - 324$
C) $x + 324$
D) $x + 36 \sqrt { x } + 324$

Question

Quizplus · Accepted Answer

To square the expression $( \sqrt { x } - 18 ) ^ { 2 }$, apply the formula $(a - b)^2 = a^2 - 2ab + b^2$, where $a = \sqrt{x}$ and $b = 18$. Squaring $\sqrt{x}$ gives $x$, and squaring $18$ gives $324$. The middle term, $-2ab$, is $-2(\sqrt{x})(18) = -36\sqrt{x}$. Therefore, the expanded form is $x - 36\sqrt{x} + 324$.

Perform the Indicated Operations (x−18)2( \sqrt { x } - 18 ) ^ { 2 }(x​−18)2

Perform the Indicated Operations $( \sqrt { x } - 18 ) ^ { 2 }$