Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
-$( \sqrt { 2 x } - 3 \sqrt { 7 } ) ( \sqrt { 2 x } - 3 \sqrt { 3 } )$
A) $2 x - 3 \sqrt { 6 x } - 3 \sqrt { 14 x } + 9 \sqrt { 7 }$
B) $2 x - 3 \sqrt { 42 x } + 9 \sqrt { 21 }$
C) $4 x ^ { 2 } - 3 \sqrt { 6 x } - 3 \sqrt { 14 x } + 9 \sqrt { 21 }$
D) $2 x - 3 \sqrt { 6 x } - 3 \sqrt { 14 x } + 9 \sqrt { 21 }$

Question

Quizplus · Accepted Answer

To solve this, we use the FOIL method for multiplying binomials: First, Outer, Inner, Last. - First: $(\sqrt{2x}) \times (\sqrt{2x}) = 2x$- Outer: $(\sqrt{2x}) \times (-3\sqrt{3}) = -3\sqrt{6x}$- Inner: $(-3\sqrt{7}) \times (\sqrt{2x}) = -3\sqrt{14x}$- Last: $(-3\sqrt{7}) \times (-3\sqrt{3}) = 9\sqrt{21}$Adding these together gives $2x - 3\sqrt{6x} - 3\sqrt{14x} + 9\sqrt{21}$, which matches option D.

Multiply, and Then Simplify If Possible (2x−37)(2x−33)( \sqrt { 2 x } - 3 \sqrt { 7 } ) ( \sqrt { 2 x } - 3 \sqrt { 3 } )(2x​−37​)(2x​−33​)

Multiply, and Then Simplify If Possible $( \sqrt { 2 x } - 3 \sqrt { 7 } ) ( \sqrt { 2 x } - 3 \sqrt { 3 } )$