Example

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

Question

$$8a-2akofactorization$$

Answer

$$8*a+2*a^3*k*o^3*f*c*t^2*r*z*n$$

Solution


Regroup terms.
\[8a-2aaakooofcttrzn\imath \imath \]
Simplify  \(2aaakooofcttrzn\imath \imath \)  to  \(2{a}^{3}k{o}^{3}fc{t}^{2}rzn\imath \imath \).
\[8a-2{a}^{3}k{o}^{3}fc{t}^{2}rzn\imath \imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[8a-2{a}^{3}k{o}^{3}fc{t}^{2}rzn{\imath }^{2}\]
Use Square Rule: \({i}^{2}=-1\).
\[8a-2{a}^{3}k{o}^{3}fc{t}^{2}rzn\times -1\]
Simplify  \(2{a}^{3}k{o}^{3}fc{t}^{2}rzn\times -1\)  to  \(-2{a}^{3}k{o}^{3}fc{t}^{2}rzn\).
\[8a-(-2{a}^{3}k{o}^{3}fc{t}^{2}rzn)\]
Remove parentheses.
\[8a+2{a}^{3}k{o}^{3}fc{t}^{2}rzn\]
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