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Math Help - Help with this factoring problem

  1. #1
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    Help with this factoring problem

    I'm not sure where to start on this one. It has me tricked. here it is:

    (X-2)(X-3) + (X-2)


    Thanks for your help
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  2. #2
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    Quote Originally Posted by MathMack View Post
    I'm not sure where to start on this one. It has me tricked. here it is:

    (X-2)(X-3) + (X-2)


    Thanks for your help
    (X-2)(X-3) + (X-2) = (X-2)(X-3) + 1 (X-2). Now take out the common factor of (X - 2).
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  3. #3
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    What's the reasoning to adding the 1? Thank you so much for your help
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  4. #4
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    Quote Originally Posted by MathMack View Post
    What's the reasoning to adding the 1? Thank you so much for your help
    To help you see how to factorise the expression when you attempt to take out the common factor.
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  5. #5
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    Quote Originally Posted by MathMack View Post
    What's the reasoning to adding the 1? Thank you so much for your help
    He is using the "distributive law": ab+ ac= a(b+ c).

    In (X-2)(X-3) + (X-2), a= (X-2), b= (X-3), and c= 1:
    (X-2)(X-3)+ (X-2)(1)= (X-2)((X-3)+ (1))= (X-2)(X-2)
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