Example

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

Question

$$\left. \begin{array} { l l l } { a + b + 2 c } & { a } & { b } & { b } \\ { c } & { c + b + 2 a b } & { b } \\ { c } & { a } & { c + a + b } & { } \end{array} \right.$$

Answer

$$a+2*b+2*c^2*a*b+2*a^2$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[a+b+2{c}^{2}ab+b+2aa\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[a+b+2{c}^{2}ab+b+2{a}^{2}\]
Collect like terms.
\[a+(b+b)+2{c}^{2}ab+2{a}^{2}\]
Simplify.
\[a+2b+2{c}^{2}ab+2{a}^{2}\]
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