Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\(-4(2x + 5)\)
Solution
To factor the expression \(-8x - 20\), follow these steps:
1. **Identify the Greatest Common Factor (GCF):**
- The coefficients are \(-8\) and \(-20\).
- The GCF of 8 and 20 is 4.
- Since both terms are negative, factoring out \(-4\) is appropriate to keep the expression simplified.
2. **Factor out the GCF:**
\[
-8x - 20 = -4(2x + 5)
\]
**Final Factored Form:**
\[
-4(2x + 5)
\]
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Simplify this solution Extra Insights
To factor the expression \(-8x - 20\), first, look for the greatest common factor (GCF) of the coefficients -8 and -20. The GCF is -4. Factoring this out gives us: \[ -4(2x + 5) \] So, the fully factored form is \(-4(2x + 5)\). For even more fun, think of factoring like removing the wrapper from a candy! You're just unveiling the tasty bits inside! Happy factoring! Remember, it's important to always check your work. After factoring, you can distribute back to make sure it equals the original expression. Trust me, it’s like a mini-math adventure!
