Final answer:
The distributive property states that when we multiply a number outside the parentheses by a sum or difference inside the parentheses, we can distribute the multiplication to each term inside the parentheses.
Step-by-step explanation:
The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac. It means that when we multiply a number outside the parentheses by the sum or difference inside the parentheses, we can distribute the multiplication to each term inside the parentheses.
In this case, option c) (13 + 2i) = (13 + 2)(1+1) illustrates the distributive property because we are multiplying (13 + 2i) by (1+1) which can be distributed to each term to give us 13(1+1) + 2i(1+1).
The statement that illustrates the distributive property is (13 + 21)i = 13i + 21i. This is because the distributive property allows for the distribution of multiplication over addition or subtraction within parentheses.
For example, in the expression a(b + c), the distributive property would result in ab + ac, where the 'a' is multiplied by both 'b' and 'c'. In this case, the 'i' is distributed across the sum (13 + 21).