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Rkb<3NH Group Title

The product of (a − b)(a − b) is a^2 − b^2. A: Sometimes B: Always C: Never *is it a?

  • 2 years ago
  • 2 years ago

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  1. MathBlonde Group Title
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    I think it is B because it would end up being a^2-ab-ba+b^2 Unless there is a zero of course so then it could be A

    • 2 years ago
  2. radar Group Title
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    The product of (a-b)(a-b) is a^2-2ab+b^2 now what conclusion do you think.

    • 2 years ago
  3. helpingtutors Group Title
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    so its never hence C

    • 2 years ago
  4. Rkb<3NH Group Title
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    it cant be b because i choose it and i got it wrong, but i stuck between a and c

    • 2 years ago
  5. MathBlonde Group Title
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    Yes C sorry I got the letter mixed up

    • 2 years ago
  6. Rkb<3NH Group Title
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    okay well thank you and can you help me with 1 more?

    • 2 years ago
  7. MathBlonde Group Title
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    The answer is never

    • 2 years ago
  8. Rkb<3NH Group Title
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    Find the two products below. Compare and contrast, in complete sentences, the similarities and differences of the two. (x + 4)(x − 4) and (x + 4)(x + 4)

    • 2 years ago
  9. MathBlonde Group Title
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    the first would play out to x^2-4x+4x-16 leaving you with x^2-16 The second would become x^2+4x+4x+14 leaving you with x^2+8x+14 See the difference?

    • 2 years ago
  10. MathBlonde Group Title
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    So the second is +16 not +14

    • 2 years ago
  11. MathBlonde Group Title
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    Do you understand how to distribute those types of problems?

    • 2 years ago
  12. Rkb<3NH Group Title
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    no im confused?

    • 2 years ago
  13. MathBlonde Group Title
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    |dw:1344899884673:dw|

    • 2 years ago
  14. MathBlonde Group Title
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    the first x multiplies to each term in the second set of parenthesis. Then the first 4 multiplies to each term in the second set of parenthesis. Add all the terms together and you are good to go :)

    • 2 years ago
  15. Rkb<3NH Group Title
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    ohh okay! i get it

    • 2 years ago
  16. Rkb<3NH Group Title
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    (x + 4)(x + 4) x^2 + 4 + 4 + 16 this is what i get for the second equation

    • 2 years ago
  17. MathBlonde Group Title
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    Yes but remember to carry x along. The second and third terms you have just 4. But the 4 multiplies with x making them each 4x So x^2+4x+4x+16

    • 2 years ago
  18. MathBlonde Group Title
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    You will be expected to combine like terms as well. So go ahead and add the 4xs together giving you 8x making your final result for that problem x^2+8x+16

    • 2 years ago
  19. Rkb<3NH Group Title
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    oh okay can you help me out with the similarities and differences of the two equations?

    • 2 years ago
  20. MathBlonde Group Title
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    You can see from our calculations that it is the minus sign that causes the major differences. It turns positive 16 into negative 16 and instead of creating 8x with the 4xs, the 4xs end up canceling each other out because 1-1=0 so 4x-4x=0 as well.

    • 2 years ago
  21. MathBlonde Group Title
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    Notice though that both problems do yield an x^2 and a 16(just a negative 16 for one of them)

    • 2 years ago
  22. Rkb<3NH Group Title
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    oh yea thats true well thank you soo much, you have been a great help!(:

    • 2 years ago
  23. MathBlonde Group Title
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    No problem :) good luck!

    • 2 years ago
  24. Rkb<3NH Group Title
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    Thanks(:

    • 2 years ago
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