Question

Which expression is equivalent to 3c(2d+4e)?

a) 6cd+12ce
b) 6c +12d +4e
c) 6cd+4ce
d) 6cd+24ce

Answer 1

The expression equivalent to 3c(2d+4e) is 6cd + 12ce, found by using the distributive property of multiplication, which makes option (a) the correct choice.

Step-by-step explanation:

The question asks us to find an expression equivalent to 3c(2d+4e). To do this, we apply the distributive property of multiplication over addition. This property states that a(b + c) = ab + ac. Applying this to the given expression:

3c(2d+4e) = 3c × 2d + 3c × 4e

Now, we multiply each term:

3c × 2d = 6cd

3c × 4e = 12ce

Putting it together:

6cd + 12ce

Therefore, the expression 3c(2d+4e) is equivalent to 6cd + 12ce, which corresponds to option (a).