Question

Which completes the statement? If 2a(a - 4) = 10 then by the Distributive Property:

A) a = 5 or -1
B) 2a(a - 4) = 5
C) 2a^2 - 8a = 10
D) a = 0

Answer 1

The Distributive Property states that for any numbers a, b, and c, the expression a(b + c) is equal to ab + ac. In the given equation 2a(a - 4) = 10, we can apply the Distributive Property by multiplying 2a with both terms inside the parentheses, giving us 2a^2 - 8a = 10. Therefore, the correct completion of the statement is C) 2a^2 - 8a = 10.

Step-by-step explanation:

The Distributive Property states that for any numbers a, b, and c, the expression a(b + c) is equal to ab + ac.

In the given equation 2a(a - 4) = 10, we can apply the Distributive Property by multiplying 2a with both terms inside the parentheses, giving us 2a^2 - 8a = 10.

Therefore, the correct completion of the statement is C) 2a^2 -8a = 10.