Question

Add the following: $4m-6n,2n-7m+12and4m-4mn-15$

Answer 1

Finding the sum of algebraic expression

We find the sum of algebraic expression by the horizontal method

To add two or more algebraic expressions,

$$\begin{gathered} (4m-6n)+(2n-7m+12)+(4m-4mn-15)=4m-6n+2n-7m+12+4m-4mn-15 \\ =4m-7m+4m-6n+2n-4mn+12-15 \\ =m-4n-3 \end{gathered}$$

Hence, the sum of an algebraic expression is $m-4n-3$.