QuestionSimplify the expression by combining like terms: $x(3-y)+y(x+6)$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $x(3-y)+y(x+6)$ . We need to simplify this expression by combining like terms

STEP 2

First, we need to distribute the terms inside the parentheses. $x(-y) =x - xy$ $y(x+6) = xy +6y$

STEP 3

Now, we substitute these values back into the original expression.
$x(3-y)+y(x+6) =3x - xy + xy +6y$

STEP 4

We can now combine like terms. Notice that we have -xy and +xy in the expression, these two terms will cancel each other out.
$3x - xy + xy +6y =3x +6y$ The simplified expression is $3x +6y$ .

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