Division is distributive over addition only in terms of addition with the numerator, but not the denominator.
That is,
(a + b)/x = a/x + b/x
but
y/(c + d) ≠y/c + y/d
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multiplication: the opposite (division) property is factoring
(a+b)/c = a/c + b/c
You need three numbers to apply a distributive property.
To be picky, the distributive property is about multiplication, but division is defined in terms of multiplication, so your question can be answered!Say you have (6xy+15y)/(3y). The distributive property will say this is equal to 6xy/3y + 15y/3y = 2x + 5.Notice that the "/3y" has been distributed onto each term inside the parentheses.
The distributive property is a property that relates to two binary operations and operates over a set.According to the distributive property of multiplication over division, if a, b and c are three elements of a set S, thena*(b + c) = a*b+a*cMultiplication is also distributive over subtraction.