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Algebra help ,easy for students not so easy for grandma?

Factor x ^ - 49 (I've used the ^ symbol to indicate the x is squared)

x^ -49

= (x+7) (x-7)

= x^ +7x -7x -49

= x^ -49

Is this answer correct ? I'm trying to help grandchild with algebra and this was my solution but I don't want to give him wrong method to factor question. I think he was a little confused that this question was under factoring tri-nomials but there was just the 2 "numbers" I just want to know if I'm on track with this section.

Update:

Thanks.I think what was confusing us was that this question was listed under factoring trinomials and it confused my grandchild because he did not think about the positive and negative 7x would cancel out.It's been a very long time since I've done algebra ,I just use basic math.

2 Answers

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  • 8 years ago
    Favorite Answer

    That's absolutely right although generally in typing we would still write the 2's to indicate it's squared, so that would be x^2-49. Beautiful model job. Fits the formula A^2-B^2 = (A+B)(A-B) as you must have figured out. I also like how you checked it by multiplying it out. The 2 middle terms always drop out when there are 2 perfect squares with a negative in between. If it were the same with a plus in between, then it wouldn't factor.

    Source(s): also a senior citizen, still working as a math tutor
  • Anonymous
    8 years ago

    That is correct!

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