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ParthKohli Group Title

Given the following statements: \( 2x + 3y =12 \) \( xy = 6\) What is \(8x^3 + 27y^3\)?

  • 2 years ago
  • 2 years ago

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  1. lgbasallote Group Title
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    \[(8x^3 + 27y^3) \implies (2x +3y)(4x^2 + 6(xy) + 9y^2\] does that give you a hint

    • 2 years ago
  2. waterineyes Group Title
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    \[a^3 + b^3 = (a + b)(a^2 + b^2 - ab)\]

    • 2 years ago
  3. ParthKohli Group Title
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    Ah! Gotcha!

    • 2 years ago
  4. apoorvk Group Title
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    \[8x^3 + 27y^3 = (2x)^3 + (3y)^3\] Use the funda below: \[(a)^3+(b)^3 = (a+b)(a^2-ab +b^2)\]

    • 2 years ago
  5. lgbasallote Group Title
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    \[\implies (2x+3y)[(2x + 3y)^2 - 6(xy)]\] \[\implies (12)[(12)^2 - 6(6)]\] \[\implies (12)[144 - 36]\] etc.

    • 2 years ago
  6. ParthKohli Group Title
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    Yep. Thanks!

    • 2 years ago
  7. mathslover Group Title
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    @ParthKohli may i give you an advise?

    • 2 years ago
  8. ParthKohli Group Title
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    Yes, please :)

    • 2 years ago
  9. mathslover Group Title
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    dude this is in class IX maths 2nd chapter try to do problems also from entrancei.com or from ncert exempler problems usually this advice is not given by any teacher ( some are exceptional ) but i am giving you since talent needs guidance :)

    • 2 years ago
  10. ParthKohli Group Title
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    Let me try to watch some videos related to this topic so I could brush-up my skills. Thanks!

    • 2 years ago
  11. mathslover Group Title
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    Yes that is a better way @ParthKohli but videos are ok for you as you are in a lower age for this level that is you are doing higher but remember : when you come in 9th dont prefer videos since videos make the student dependent .. :) best of luck dude .. and thanks for taking that as positive

    • 2 years ago
  12. ParthKohli Group Title
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    I disagree: Videos are pretty dynamic and visual.

    • 2 years ago
  13. mathslover Group Title
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    friend ... they are dynamic and visual , they can be used for at the last days of exams .. to just revise withing minutes but my main point was that "dont' dedicate yourself completely on videos .. but since you are at present doing higher .. prefer videos first :) "

    • 2 years ago
  14. ParthKohli Group Title
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    I see. I do know polynomials, but I don't know how to do these kinds of problems. Let me see.

    • 2 years ago
  15. mathslover Group Title
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    being disagreed has the reason since at this time videos are helping you very much ... for higher level .. .

    • 2 years ago
  16. ParthKohli Group Title
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    I use http://tutorial.math.lamar.edu, but it doesn't have such practice problems.

    • 2 years ago
  17. mathslover Group Title
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    for practice problems prefer this link : http://www.ncert.nic.in/NCERTS/textbook/textbook.htm?ieep2=2-17

    • 2 years ago
  18. mathslover Group Title
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    main concepts .. then problems

    • 2 years ago
  19. ParthKohli Group Title
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    I actually do know all these identities, but sometimes it becomes a pain-in-the-brain to apply them.

    • 2 years ago
  20. mathslover Group Title
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    Hmn yes it becomes .. see whenever you are given with that type of questions and you know that is something related to this topic then : try to make it similar to the identities

    • 2 years ago
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