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Multiply. \[ (x-8)(x+1) \] Simplify your answer. \( \square \)

Ask by Chen Mathis. in the United States
Jan 22,2025

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Tutor-Verified Answer

Answer

\( x^2 - 7x - 8 \)

Solution

To multiply \((x - 8)(x + 1)\), follow these steps: 1. **Distribute each term in the first binomial to each term in the second binomial:** \[ x \cdot x + x \cdot 1 - 8 \cdot x - 8 \cdot 1 \] 2. **Multiply the terms:** \[ x^2 + x - 8x - 8 \] 3. **Combine like terms:** \[ x^2 - 7x - 8 \] **Simplified Answer:** \[ x^2 - 7x - 8 \]

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Mind Expander

To simplify \( (x-8)(x+1) \), you can use the distributive property (often referred to as FOIL for binomials). First, multiply the first terms: \( x \cdot x = x^2 \). Next, multiply the outer terms: \( x \cdot 1 = x \). Then, multiply the inner terms: \( -8 \cdot x = -8x \). Finally, multiply the last terms: \( -8 \cdot 1 = -8 \). Now, combine all these results: \[ x^2 + x - 8x - 8 = x^2 - 7x - 8. \] So, the simplified answer is: \[ \boxed{x^2 - 7x - 8}. \]

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