Example

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

Question

$$Factorizethefollowing3xy+3+3x-3y$$

Answer

$$-3*Fa*e^2*c*t^2*o^3*r*z*h*f*l^2*w*n*g*x*y+3+3*x-3*y$$

Solution


Regroup terms.
\[3cttooorzhfllwngxyFa\imath ee\imath +3+3x-3y\]
Simplify  \(3cttooorzhfllwngxyFa\imath ee\imath \)  to  \(3c{t}^{2}{o}^{3}rzhf{l}^{2}wngxyFa\imath ee\imath \).
\[3c{t}^{2}{o}^{3}rzhf{l}^{2}wngxyFa\imath ee\imath +3+3x-3y\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[3c{t}^{2}{o}^{3}rzhf{l}^{2}wngxyFa{\imath }^{2}{e}^{2}+3+3x-3y\]
Use Square Rule: \({i}^{2}=-1\).
\[3c{t}^{2}{o}^{3}rzhf{l}^{2}wngxyFa\times -1\times {e}^{2}+3+3x-3y\]
Simplify  \(3c{t}^{2}{o}^{3}rzhf{l}^{2}wngxyFa\times -1\times {e}^{2}\)  to  \(-3c{t}^{2}{o}^{3}rzhf{l}^{2}wngxyFa{e}^{2}\).
\[-3c{t}^{2}{o}^{3}rzhf{l}^{2}wngxyFa{e}^{2}+3+3x-3y\]
Regroup terms.
\[-3Fa{e}^{2}c{t}^{2}{o}^{3}rzhf{l}^{2}wngxy+3+3x-3y\]
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