Question

Expand 5(y + 2) using the distributive property.

A) 5y + 2
B) 5y - 10
C) 5y + 10
D) 5y^2 + 10

Answer 1

The expansion of 5(y + 2) using the distributive property is 5y + 10. The correct answer is option C) 5y + 10. This mathematical operation only requires simple multiplication and addition.

Step-by-step explanation:

The question involves using the distributive property to expand an algebraic expression. The given expression is 5(y + 2).

The distributive property allows you to multiply the number outside the parentheses by each term inside the parentheses.

Applying the distributive property to the given expression, we multiply 5 by y, and then multiply 5 by 2:

• 5 × y = 5y
• 5 × 2 = 10

Combining these, we get the expanded form:

5y + 10

The correct option is C) 5y + 10. In this case, we only perform multiplication and addition, with no exponents or other operations involved.