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anonymous

  • one year ago

Which polynomial identity will prove that 65 = 81 - 16? Binomial Multiplication Difference of Cubes Sum of Cubes Difference of Squares

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  1. anonymous
    • one year ago
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    B

  2. anonymous
    • one year ago
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    Why?

  3. anonymous
    • one year ago
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    81 = 9^2 hint2 : 16 = 4^2 65 = 81-16 = 8^2 - 4^2 = (9+4)(9-4) = (13)(6) = 65

  4. AkashdeepDeb
    • one year ago
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    It's not B. What do you think the answer should be and why? Try to reason, logically.

  5. anonymous
    • one year ago
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    I have no idea because none of those numbers are squared or cubed but theyre being subtracted so I would go with the difference of. So B or D

  6. AkashdeepDeb
    • one year ago
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    Yes, the answer is D. This is because 81 and 16 are perfect squares. That means, \(9^2 = 81\) \(4^2 = 16\) \(65 = 81 - 16 = 9^2 - 4^2 = difference ~~of~~ perfect ~~squares = D\)

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