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November 5th, 2018, 02:58 AM  #1 
Newbie Joined: Jul 2018 From: England Posts: 3 Thanks: 0  Factor: −6a^2 + 36a
The above question is from the OpenStax Elementary Algebra book (Example 7.13). The answer give is: 6a(a  6) Which clearly is correct. However, my answer was: 6a(a + 6). Are there two correct answers or have I made a mistake? Thanks 
November 5th, 2018, 03:18 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,674 Thanks: 2654 Math Focus: Mainly analysis and algebra 
Both are correct. But I would prefer $$6a(6a)$$ which looks a bit neater to me.

November 5th, 2018, 04:44 AM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,674 Thanks: 2654 Math Focus: Mainly analysis and algebra 
Note that you can always check your answer by multiplying out the factors: $$6a(a+6)= (6a)(a)+(6a)(6) = 6a^2+36a$$ 
November 5th, 2018, 11:25 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,926 Thanks: 2205 
(2)(3)(a)(6  a) or (2)(3)(a)(a  6)


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36a, −6a2, factor 
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