Example

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

Question

$$primefactorizationof90900$$

Answer

$$-90900*e*IM*p*r^2*m*f^2*a^2*c*t^2*o^3*z*n$$

Solution


Regroup terms.
\[90900prrmffaacttooozn\imath e\imath \imath \]
Simplify.
\[90900p{r}^{2}m{f}^{2}{a}^{2}c{t}^{2}{o}^{3}zn\imath e\imath \imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[90900p{r}^{2}m{f}^{2}{a}^{2}c{t}^{2}{o}^{3}zn{\imath }^{3}e\]
Isolate \({\imath }^{2}\).
\[90900p{r}^{2}m{f}^{2}{a}^{2}c{t}^{2}{o}^{3}zn{\imath }^{2}\imath e\]
Use Square Rule: \({i}^{2}=-1\).
\[90900p{r}^{2}m{f}^{2}{a}^{2}c{t}^{2}{o}^{3}zn\times -1\times \imath e\]
Simplify.
\[-90900p{r}^{2}m{f}^{2}{a}^{2}c{t}^{2}{o}^{3}zn\imath e\]
Regroup terms.
\[-90900e\imath p{r}^{2}m{f}^{2}{a}^{2}c{t}^{2}{o}^{3}zn\]
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