Example

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

Question

$$MethodOfPrimeFactorisationByDivisionMethod64$$

Answer

$$64*Me*dOfPr*eFa*nByDi*nMe*IM*t^4*h^2*o^5*m*c*r*s^2*a*v*d$$

Solution


Regroup terms.
\[64tttthhooooomcrssavdMedOfPr\imath eFa\imath \imath nByDi\imath \imath nMe\]
Simplify.
\[64{t}^{4}{h}^{2}{o}^{5}mcr{s}^{2}avdMedOfPr\imath eFa\imath \imath nByDi\imath \imath nMe\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[64{t}^{4}{h}^{2}{o}^{5}mcr{s}^{2}avdMedOfPr{\imath }^{5}eFanByDinMe\]
Use Power Reduction Rule: \({i}^{n}={i}^{n\text{ mod }4}\).
\[64{t}^{4}{h}^{2}{o}^{5}mcr{s}^{2}avdMedOfPr\imath eFanByDinMe\]
Regroup terms.
\[64MedOfPreFanByDinMe\imath {t}^{4}{h}^{2}{o}^{5}mcr{s}^{2}avd\]
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