find the missing terms: (k - 2)(k + 1) = _+_ - 2k - 2

To find the missing terms, let's expand the expression on the left-hand side: \((k - 2)(k + 1)\).

### Step 1: Expand the expression

\[
(k - 2)(k + 1) = k(k + 1) - 2(k + 1)
\]

\[
= k^2 + k - 2k - 2
\]

### Step 2: Combine like terms

\[
= k^2 - k - 2
\]

### Step 3: Match the given format

Now, we have \( k^2 - k - 2 \). The goal is to match this to the form given in the problem: \(_ + _ - 2k - 2\). Therefore, the missing terms are \( k^2 \) and \( -k \).

### Final Answer:

\[
(k - 2)(k + 1) = k^2 + (-k) - 2k - 2
\]

Would you like a detailed explanation of each step?

Here are some related questions:

1. How do you factor quadratic expressions?
2. How does the distributive property work in polynomial multiplication?
3. What does it mean to combine like terms in an algebraic expression?
4. How do you identify missing terms in polynomial equations?
5. What is the role of coefficients in polynomial expansion?

**Tip:** Always double-check your results by expanding or simplifying to verify equivalence between different forms of the expression.

Discover how to find the missing terms in the expression (k - 2)(k + 1) and match it to a specific format. This problem explores polynomial expansion and simplification concepts, using the distributive property. Perfect for students in Grades 7-9.

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