Yen feeds his puppy the same amount of food each day. He plan to increase this amount by \( x \) oz. The expression \( 3 x+18 \) represer the total weight of food, in ounces, Yen needs for his puppy for the next three days. a. Rewrite the expression as a product of two factors. Show your work.
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To rewrite the expression \( 3x + 18 \) as a product of two factors, we can factor out the greatest common factor, which is 3. Here’s how it looks: 1. Identify the common factor: Both terms \( 3x \) and \( 18 \) can be divided by 3. 2. Factor out 3: \[ 3x + 18 = 3(x + 6) \] Thus, the expression \( 3x + 18 \) can be rewritten as \( 3(x + 6) \). If you need to find more ways to approach this kind of problem, remember that factoring is all about finding common elements. One common mistake is to overlook the greatest common factor, so always check if there's something you can factor out first! Keep practicing with different expressions, and you'll become a factoring whiz in no time!
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