Example

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

Question

$$a^{2}-ab\mp a^{3}b-a^{2}b^{2}$$

Answer

$$a^2-a^4*b^2*m*p-a^2*b^2$$

Solution


Regroup terms.
\[{a}^{2}-a{a}^{3}bbmp-{a}^{2}{b}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{a}^{2}-{a}^{1+3}{b}^{1+1}mp-{a}^{2}{b}^{2}\]
Simplify  \(1+3\)  to  \(4\).
\[{a}^{2}-{a}^{4}{b}^{1+1}mp-{a}^{2}{b}^{2}\]
Simplify  \(1+1\)  to  \(2\).
\[{a}^{2}-{a}^{4}{b}^{2}mp-{a}^{2}{b}^{2}\]
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