Question

determining equivalent expressions
use the distributive property to write an equivalent expression. complete the statement.
4(9 + d)
the equivalent expression is

Explanation:

Step1: Recall Distributive Property

The distributive property states that \( a(b + c)=ab + ac \). Here, \( a = 4 \), \( b = 9 \), and \( c = d \).

Step2: Apply Distributive Property

Applying the property to \( 4(9 + d) \), we multiply 4 with each term inside the parentheses: \( 4\times9+4\times d \).

Step3: Calculate \( 4\times9 \)

\( 4\times9 = 36 \), so the expression becomes \( 36 + 4d \) (or \( 4d+36 \)).

Answer:

\( 36 + 4d \) (or \( 4d + 36 \))