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

Question

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

(3a2)(2x+4) (3a-2)(2x+4)

Video Solution

Step-by-Step Solution

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 3a , by each term in the second binomial (2x+4) (2x+4) :
    3a2x=6ax 3a \cdot 2x = 6ax
    3a4=12a 3a \cdot 4 = 12a
  • Step 2: Multiply the second term of the first binomial, 2-2, by each term in the second binomial (2x+4) (2x+4) :
    22x=4x-2 \cdot 2x = -4x
    24=8-2 \cdot 4 = -8
  • Step 3: Combine all the products to write the expanded expression:
    6ax+12a4x8 6ax + 12a - 4x - 8

Therefore, the simplified expression using the distributive property is 6ax+12a4x8 6ax + 12a - 4x - 8 .

Thus, the correct answer is Yes, 6ax+12a4x8 6ax+12a-4x-8 .

Answer

Yes, 6ax+12a4x8 6ax+12a-4x-8