Question

$$\left. \begin{array} { l } { \text { d e r e m d \right.$$

Answer

$$-120*e^3*a^3*r*g^3*o^3*s*d*l^2*t^2*h*w*n^2*m*q*u$$

Solution


Regroup terms.
\[120aaargggooosdlltthwnnmeeequ\imath \imath \]
Regroup terms.
\[120aaargggooosdlltthwnnmqueee\imath \imath \]
Simplify.
\[120{a}^{3}r{g}^{3}{o}^{3}sd{l}^{2}{t}^{2}hw{n}^{2}mqueee\imath \imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[120{a}^{3}r{g}^{3}{o}^{3}sd{l}^{2}{t}^{2}hw{n}^{2}mqu{e}^{3}{\imath }^{2}\]
Use Square Rule: \({i}^{2}=-1\).
\[120{a}^{3}r{g}^{3}{o}^{3}sd{l}^{2}{t}^{2}hw{n}^{2}mqu{e}^{3}\times -1\]
Simplify.
\[-120{a}^{3}r{g}^{3}{o}^{3}sd{l}^{2}{t}^{2}hw{n}^{2}mqu{e}^{3}\]
Regroup terms.
\[-120{e}^{3}{a}^{3}r{g}^{3}{o}^{3}sd{l}^{2}{t}^{2}hw{n}^{2}mqu\]