QuestionFind the expression equivalent to $4(4 a+6)$ . Options: $16 a+24$ , $4(6 a+4)$ , $24 a+16$ , $16 a+6$ .

Studdy Solution

STEP 1

Assumptions1. We are looking for an expression equivalent to $4(4 a+6)$ . We can use the distributive property of multiplication over addition to simplify the expression

STEP 2

We can use the distributive property to simplify the expression $4(4 a+6)$ . The distributive property states that $a(b + c) = ab + ac$ .
$4(4 a+6) =4 \cdot4a +4 \cdot6$

STEP 3

Now, we can calculate each part of the expression.
\cdota =16a $\cdot6 =24$

STEP 4

Then, we combine the results to get the simplified expression.
$4(4 a+6) =16a +24$ So, the expression equivalent to $4(4 a+6)$ is $16 a+24$ .

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