



 
Hi Madison, The distributive property states that for any numbers $x, y$ and $z,$ \[x(y + z) = xy + xz.\] I want to illustrate its use with a different expression, $5p(6q  9r).$ Using the distributive property to rewrite this expression I get \[5p(6q  9r) = 5p\left(6q + (9r)\right) = (5p) \times (6q) + (5p) \times (9r).\] Since multiplication is commutative, that is for any numbers $x$ and $y, xy = yx,$ my expression above can be rewritten \[5p(6q  9r) = 5p\left(6q + (9r)\right) = (5p) \times (6q) + (5p) \times (9r) = 30 pq  45 pr.\] Now try your expression,  


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