Question

What is the simplified form of the following expression? 7(3sqrt2x)-3(3sqrt16x)-3(3sqrt8x)

Answer 1

Assignment: $\bold{Simplify \ Equation: \ 7\left(3\sqrt{2}x\right)-3\left(3\sqrt{16}x\right)-3\left(3\sqrt{8}x\right)}$

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Answer: $\boxed{\bold{3\sqrt{2}x-36x}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Remove Parenthesis (a) = a

$\bold{7\cdot \:3\sqrt{2}x-3\cdot \:3\sqrt{16}x-3\cdot \:3\sqrt{8}x}$

[ Step Two ] Simplify Equations

$\bold{7\cdot \:3\sqrt{2}x: \ 21\sqrt{2}x}$

$\bold{3\cdot \:3\sqrt{16}x: \ 36x}$

$\bold{3\cdot \:3\sqrt{8}x: \ 18\sqrt{2}x}$

[ Step Three ] Rewrite Equation

$\bold{21\sqrt{2}x-36x-18\sqrt{2}x}$

[ Step Four ] Add Similar Elements

$\bold{21\sqrt{2}x-18\sqrt{2}x=3\sqrt{2}x}$

[ Step Five ] Rewrite Equation

$\bold{3\sqrt{2}x-36x}$

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$\bold{\rightarrow Mordancy \leftarrow}$