QuestionSimplify the expression $(-2 x)(-3 y)+(2 y)(-4 x)$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(- x)(-3 y)+( y)(-4 x)$ . We are to simplify this expression by applying the distributive property and combining like terms

STEP 2

First, we need to distribute the multiplication in each term.
$(-2 x)(- y) =6xy$ $(2 y)(-4 x) = -8xy$

STEP 3

Now, we substitute these results back into the expression.
$(-2 x)(-3 y)+(2 y)(- x) =6xy -8xy$

STEP 4

Finally, we combine the like terms.
$6xy -8xy = -2xy$ The simplified form of the expression $(-2 x)(-3 y)+(2 y)(-4 x)$ is $-2xy$ .

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