Chapter 1.3, Problem 50PPSE

Solution

To state: The simplified form of the expression $x\left(3-y\right)+y\left(x+6\right)$ by combining like terms.

The resultant answer is $3x+6y$ .

Given information:

The given expression is $x\left(3-y\right)+y\left(x+6\right)$ .

Explanation:

Like terms are those terms that have same variables raised to the same power.

Now consider the given expression $x\left(3-y\right)+y\left(x+6\right)$:

Identify the like terms,

  $x\left(3-y\right)+y\left(x+6\right)$

Remove the grouping symbol,

  $3x-xy+yx+6y$

Use Commutative property of addition,

  $\begin{array}{c}3x-xy+xy+6y\\ 3x+0+6y\\ 3x+6y\end{array}$

Therefore, $3x+6y$ is the resultant form of the expression $x\left(3-y\right)+y\left(x+6\right)$ .