Simplify (3a-2)(2x+4): Distributive Property Practice

It is possible to use the distributive property to simplify the expression

$(3a-2)(2x+4)$

To solve the problem, we will use the distributive property. Our goal is to expand and simplify the given expression by distributing each term separately:

• Step 1: Multiply the first term of the first binomial, $3a$, by each term in the second binomial $(2x+4)$:
  $3a \cdot 2x = 6ax$
  $3a \cdot 4 = 12a$
• Step 2: Multiply the second term of the first binomial, $-2$, by each term in the second binomial $(2x+4)$:
  $-2 \cdot 2x = -4x$
  $-2 \cdot 4 = -8$
• Step 3: Combine all the products to write the expanded expression:
  $6ax + 12a - 4x - 8$

Therefore, the simplified expression using the distributive property is $6ax + 12a - 4x - 8$.

Thus, the correct answer is Yes, $6ax+12a-4x-8$.