A HARD Algebra Question | You should know this TRICK!

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  • Опубліковано 21 лис 2024

КОМЕНТАРІ • 32

  • @blue_blaze2256
    @blue_blaze2256 Місяць тому +10

    why not use pascals triangle to figure out the formula for (a-b)^6 and solving it??

    • @rainerzufall42
      @rainerzufall42 Місяць тому

      Or at least (a + sqrt(b)) ^ n ...

    • @blue_blaze2256
      @blue_blaze2256 29 днів тому

      @@rainerzufall42 yea thats what i was sayin

  • @rainerzufall42
    @rainerzufall42 Місяць тому +3

    1 * 8 + 15 * 4 + 15 * 2 + 1 * 1 = 8 + 60 + 30 + 1 = 99
    6 * 4 + 20 * 2 + 6 * 1 = 24 + 40 + 6 = 70
    => (sqrt(2) - 1)^6 = 99 - 70 sqrt(2). Easy.

    • @rainerzufall42
      @rainerzufall42 Місяць тому

      Without any calculation: This should be 1 / (99 + 70 sqrt(2)) ~= 1 / 198 = 0.0050505... (good enough!).
      Why that? (sqrt(2) - 1) = 1 / (sqrt(2) + 1) and 99 ~= 70 sqrt(2), because |sqrt(2) - 1|

  • @alokKumar143ak
    @alokKumar143ak Місяць тому

    You are real teacher.

  • @에스피-z2g
    @에스피-z2g 27 днів тому

    (rt2-1)^2=3-2rt2
    (rt2-1)^4=17-12rt2
    (rt2-1)2×(rt2-1)^4
    =(3-2rt2)(17-12rt2)
    =51+48-70rt2
    =99-70rt2

  • @TonyFisher-lo8hh
    @TonyFisher-lo8hh Місяць тому +1

    What an incredibly cumbersome solution! Just expand the original expression with the binomial theorem, do some simple arithmetic, collect like terms, and the result drops out with about four lines of calvulation

    • @TonyFisher-lo8hh
      @TonyFisher-lo8hh Місяць тому

      Sorry: calculation

    • @ralkadde
      @ralkadde Місяць тому

      @@TonyFisher-lo8hh Agreed, this is the general approach to handle such expression. By the way: to correct typos, press on the 3 points that are located right of you text and simply change your text. ('calculation' in this case)

    • @TonyFisher-lo8hh
      @TonyFisher-lo8hh Місяць тому

      @@ralkadde "Three dots" to enter edit-mode works in Chrome under Windows, but not in youtube under Android.

    • @ralkadde
      @ralkadde 25 днів тому

      @@TonyFisher-lo8hh Thank you for this information. I did not know.

  • @Maths_Se
    @Maths_Se Місяць тому

    Thank you very much

  • @artemundocotheo
    @artemundocotheo Місяць тому

    Podemos resolver também por produtos notáveis(quadrado da diferença), separando em 3 parcelas (V2 - 1)'2. Depois, teremos novamente 3 parcelas iguais e podemos resolver duas delas por produto notável(quadrado da diferença). E o resultado multiplica com o termo que sobrou.

  • @miimzone
    @miimzone 28 днів тому

    Just find cube and get result and then multiply with same result .. within 20 seconds 😂

  • @muxlisashomirzaeva9963
    @muxlisashomirzaeva9963 29 днів тому

    С помощью дискриминала решили бы давно.

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 Місяць тому

    (2 ➖ 1)^2^3 (1 ➖ 1)^2^3 (x ➖ 3x+2).

  • @Mr.pavan0
    @Mr.pavan0 Місяць тому +1

    ❤❤

  • @witzar
    @witzar Місяць тому +7

    I watched some of your videos. You keep solving the same trivial (but you call it "HARD" for some reason) algebra problem over and over again, just with different numbers. What could be the purpose of this?

  • @prime423
    @prime423 Місяць тому

    Its simpler to square and then cube!!No trick ,much easier.

  • @Prayanshusinghal
    @Prayanshusinghal Місяць тому +1

    With in 30 sec answer aa Jayega

    • @Jayant_nanda123
      @Jayant_nanda123 Місяць тому

      Please 🙏 tell kaise aayega , Please 🙏

  • @Prayanshusinghal
    @Prayanshusinghal Місяць тому

    Binomial theorem se Karo 😅😅

  • @ghiant02
    @ghiant02 Місяць тому +1

    неплохо

  • @SagnikPalshorts
    @SagnikPalshorts Місяць тому

    I love Your types of Mathematics Please Pin my comment🎉

  • @fatiherdogan9623
    @fatiherdogan9623 Місяць тому

    Are you fun

  • @SagnikPalshorts
    @SagnikPalshorts Місяць тому

    I love Your types of Mathematics Please Pin my comment🎉