Problem

$(3 K+2)(K-1)$

Answer

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Answer

Final Answer: The expanded form of the expression $(3 K+2)(K-1)$ is \(\boxed{3K^2 - K - 2}\)

Steps

Step 1 ：Let's consider the algebraic expression $(3 K+2)(K-1)$.

Step 2 ：We can use the distributive property of multiplication over addition to expand this expression. The distributive property states that for all real numbers a, b, and c: a * (b + c) = a * b + a * c.

Step 3 ：Applying this property to our expression, we get: $(3 K+2)(K-1) = 3K(K-1) + 2(K-1)$

Step 4 ：Further simplifying, we get: $3K^2 - 3K + 2K - 2$

Step 5 ：Combining like terms, we get: $3K^2 - K - 2$

Step 6 ：Final Answer: The expanded form of the expression $(3 K+2)(K-1)$ is \(\boxed{3K^2 - K - 2}\)

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