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November 5th, 2018, 03:58 AM   #1
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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?

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November 5th, 2018, 04:18 AM   #2
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Both are correct. But I would prefer $$6a(6-a)$$ which looks a bit neater to me.
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November 5th, 2018, 05:44 AM   #3
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Note that you can always check your answer by multiplying out the factors:
$$6a(-a+6)= (6a)(-a)+(6a)(6) = -6a^2+36a$$
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November 5th, 2018, 12:25 PM   #4
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(2)(3)(a)(6 - a) or -(2)(3)(a)(a - 6)
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