Multiply each term in $(k+6)$ by each term in $(k-2)$. How many products should you get in total?

After you write out all the products, group the terms with $k$ together and simplify them before looking at the choices.

In a Desmos expression line, type expand((k+6)(k-2)). Desmos will show the simplified quadratic expression that is equivalent to $(k+6)(k-2)$.

In separate lines, type each option (for example, k^2+4k-12, k^2+12k-4, etc.) and visually compare them to the expanded result from step 1. Choose the option that matches the expanded expression exactly in all terms and signs.

The expression $(k+6)(k-2)$ is a product of two binomials. To simplify it, you need to multiply each term in the first parentheses by each term in the second parentheses (often called using the FOIL method: First, Outer, Inner, Last).

Multiply each pair of terms:

• First terms: $k \cdot k = k^2$
• Outer terms: $k \cdot (-2) = -2k$
• Inner terms: $6 \cdot k = 6k$
• Last terms: $6 \cdot (-2) = -12$

So the expanded expression before combining like terms is:

Combine the like terms in the middle:

• $-2k + 6k = 4k$

So the fully simplified expression is:

Now look at the answer choices and select the one that exactly matches $k^2+4k-12$, which is choice A.