QuestionFind the expression equivalent to $3(7 c+1)$ . Options: $7 c+3$ , $3 c+21$ , $21 c+3$ , $21 c+1$ .

Studdy Solution

STEP 1

Assumptions1. The expression is $3(7 c+1)$ . We are looking for an equivalent expression among the given options

STEP 2

First, we need to simplify the expression $(7 c+1)$ . We can do this by applying the distributive property of multiplication over addition, which states that $a(b + c) = ab + ac$ .
$(7 c+1) = \cdot7c + \cdot1$

STEP 3

Now, perform the multiplication in the expression.
$3 \cdot7c +3 \cdot1 =21c +3$ So, the expression $3(7 c+1)$ simplifies to $21c +3$ .

STEP 4

Now, let's compare the simplified expression with the given options.
The first option is $7c +3$ , which is not equivalent to $21c +3$ .
The second option is $3c +21$ , which is not equivalent to $21c +3$ .
The third option is $21c +3$ , which is equivalent to $21c +3$ .
The fourth option is $21c +1$ , which is not equivalent to $21c +3$ .
So, the equivalent expression to $3(7 c+1)$ is $21c +3$ .

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