Example

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

Question

$$\left. \begin{array} { l } { f ( c } \\ { ( a - 3 ) ( a ^ { 2 } + 3 a + 9 ) } \end{array} \right.$$

Answer

$$-iformulas*IM*n^2*d^2*s*a*(a-3)*(a^2+3*a+9)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{\imath }^{3}{n}^{2}{d}^{2}siformulasa(a-3)({a}^{2}+3a+9)\]
Isolate \({\imath }^{2}\).
\[{\imath }^{2}\imath {n}^{2}{d}^{2}siformulasa(a-3)({a}^{2}+3a+9)\]
Use Square Rule: \({i}^{2}=-1\).
\[-1\times \imath {n}^{2}{d}^{2}siformulasa(a-3)({a}^{2}+3a+9)\]
Simplify  \(1\times \imath {n}^{2}{d}^{2}siformulasa(a-3)({a}^{2}+3a+9)\)  to  \({n}^{2}{d}^{2}sa\imath iformulas(a-3)({a}^{2}+3a+9)\).
\[-{n}^{2}{d}^{2}sa\imath iformulas(a-3)({a}^{2}+3a+9)\]
Regroup terms.
\[-iformulas\imath {n}^{2}{d}^{2}sa(a-3)({a}^{2}+3a+9)\]
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