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Rkb<3NH

  • 2 years ago

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

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

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

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

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

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

  7. MathBlonde
    • 2 years ago
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    The answer is never

  8. Rkb<3NH
    • 2 years ago
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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)

  9. MathBlonde
    • 2 years ago
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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?

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

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

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

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

  14. MathBlonde
    • 2 years ago
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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 :)

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

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

  17. MathBlonde
    • 2 years ago
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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

  18. MathBlonde
    • 2 years ago
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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

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

  20. MathBlonde
    • 2 years ago
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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.

  21. MathBlonde
    • 2 years ago
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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)

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

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

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

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