Assignment: [tex]\bold{Simplify \ Equation: \ 7\left(3\sqrt{2}x\right)-3\left(3\sqrt{16}x\right)-3\left(3\sqrt{8}x\right)}[/tex]
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Answer: [tex]\boxed{\bold{3\sqrt{2}x-36x}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Remove Parenthesis (a) = a
[tex]\bold{7\cdot \:3\sqrt{2}x-3\cdot \:3\sqrt{16}x-3\cdot \:3\sqrt{8}x}[/tex]
[ Step Two ] Simplify Equations
[tex]\bold{7\cdot \:3\sqrt{2}x: \ 21\sqrt{2}x}[/tex]
[tex]\bold{3\cdot \:3\sqrt{16}x: \ 36x}[/tex]
[tex]\bold{3\cdot \:3\sqrt{8}x: \ 18\sqrt{2}x}[/tex]
[ Step Three ] Rewrite Equation
[tex]\bold{21\sqrt{2}x-36x-18\sqrt{2}x}[/tex]
[ Step Four ] Add Similar Elements
[tex]\bold{21\sqrt{2}x-18\sqrt{2}x=3\sqrt{2}x}[/tex]
[ Step Five ] Rewrite Equation
[tex]\bold{3\sqrt{2}x-36x}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]