Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { 8 d i y } \\ { s e } \\ { \sin y | e } \\ { d i g i t } \end{array} \right.$$

Answer

$$-8*eSi*e*IM*d^2*g^3*t^2*s*n*l$$

Solution


Regroup terms.
\[8ddgggttsnl\imath eSie\imath \imath \]
Simplify.
\[8{d}^{2}{g}^{3}{t}^{2}snl\imath eSie\imath \imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[8{d}^{2}{g}^{3}{t}^{2}snl{\imath }^{3}eSie\]
Isolate \({\imath }^{2}\).
\[8{d}^{2}{g}^{3}{t}^{2}snl{\imath }^{2}\imath eSie\]
Use Square Rule: \({i}^{2}=-1\).
\[8{d}^{2}{g}^{3}{t}^{2}snl\times -1\times \imath eSie\]
Simplify.
\[-8{d}^{2}{g}^{3}{t}^{2}snl\imath eSie\]
Regroup terms.
\[-8eSie\imath {d}^{2}{g}^{3}{t}^{2}snl\]
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