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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$CANYOUDOABODMASRULEMATH$$

Evaluate

$BCEHLNRSTYO^{3}A^{4}\left(DMU\right)^{2}$

Solution Steps

Multiply $A$ and $A$ to get $A^{2}$.

$$CA^{2}NYOUDOBODMASRULEMATH$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$CA^{3}NYOUDOBODMSRULEMATH$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$CA^{4}NYOUDOBODMSRULEMTH$$

Multiply $O$ and $O$ to get $O^{2}$.

$$CA^{4}NYO^{2}UDBODMSRULEMTH$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$CA^{4}NYO^{3}UDBDMSRULEMTH$$

Multiply $U$ and $U$ to get $U^{2}$.

$$CA^{4}NYO^{3}U^{2}DBDMSRLEMTH$$

Multiply $D$ and $D$ to get $D^{2}$.

$$CA^{4}NYO^{3}U^{2}D^{2}BMSRLEMTH$$

Multiply $M$ and $M$ to get $M^{2}$.

$$CA^{4}NYO^{3}U^{2}D^{2}BM^{2}SRLETH$$

Differentiate w.r.t. C

$BEHLNRSTYO^{3}A^{4}\left(DMU\right)^{2}$