Question

which expression is equivalent to ( 7(3 + 7) )? choose the correct answer.

○ a) ( 3 + 7 )

○ b) ( 21 + 7 )

○ c) ( 3 + 49 )

○ d) ( 21 + 49 )

Explanation:

Step1: Apply the distributive property

The distributive property states that \( a(b + c) = ab + ac \). For the expression \( 7(3 + 7) \), we distribute the 7 to both terms inside the parentheses.
So, \( 7\times3 + 7\times7 \)

Step2: Calculate each product

Calculate \( 7\times3 = 21 \) and \( 7\times7 = 49 \).
Then, substitute these back into the expression: \( 21 + 49 \)

Answer:

D) \( 21 + 49 \)