Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( a^{2} + 8a + 12 = (a + 2)(a + 6) \)
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Extra Insights
To factor the expression \(a^{2}+8a+12\), you’re looking for two numbers that multiply to 12 and add up to 8. Those numbers are 2 and 6! So, you can rewrite the expression as \((a+2)(a+6)\). Now, to double-check your work, you can expand \((a+2)(a+6)\) back out to ensure it equals the original expression. Yep, it does! Factoring makes solving equations so much more manageable; give it a try with other quadratic expressions!