Question
Simplify the product using the Distributive Property. \[ (x+6)(x+4) \] \( (x+6)(x+4)=\square \)
Ask by Hampton Norton. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
(x + 6)(x + 4) = x^2 + 10x + 24
\]
Solution
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Mind Expander
To simplify the product \( (x+6)(x+4) \) using the Distributive Property, you multiply each term in the first parentheses by each term in the second parentheses. So, we have: \[ (x+6)(x+4) = x \cdot x + x \cdot 4 + 6 \cdot x + 6 \cdot 4 \] This simplifies to: \[ x^2 + 4x + 6x + 24 \] Combining the like terms gives: \[ x^2 + 10x + 24 \] Thus, \( (x+6)(x+4) = x^2 + 10x + 24 \).
