(a+b)/c = a/c + b/c
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multiplication: the opposite (division) property is factoring
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.
2k + 10 is an expression. The distributive property is a property of one binary operation (typically multiplication, or right-division) over another (addition or subtraction) for elements of a set (numbers); not a property of expressions.
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