Remove the brackets and simplify: $3 (e + 2 f) - 4 e + 3 (2 e - 3 f)$ .

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Solution

SImplifying the algebraic expression
Simplification rule: If there is a $" - "$ sign before a bracket, then the signs of all the terms inside the bracket changes but if there is a $“ + ”$ sign before the bracket, then no change of signs.
$\begin{array}{rcl} 3 (e + 2 f) - 4 e + 3 (2 e - 3 f) & = & 3 e + 6 f - 4 e + 6 e - 9 f \\ = & 3 e - 4 e + 6 e + 6 f - 9 f \\ = & 5 e - 3 f \end{array}$
Therefore, the simplifies expression is $5 e - 3 f$ .

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