দেখাও যে x3 9x2 26x 24 x 2 3 4, বীজগণিতিক রাশি, গণিত

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Question:দেখাও যে, 
  `x^3 + 9x^2 + 26x + 24 = (x + 2) (x + 3) (x + 4)`

Answer বামপক্ষ  
  `= x^3 + 9x^2 + 26x + 24`

  `= x^3 + 9x^2 + 27x + 27 - x - 3`

  `= x^3 + 3.x^2.3 + 3.x.3^2 + 3^3 - (x + 3)`

  `= (x + 3)^3 - (x + 3)`

  `= (x + 3) {(x + 3)^2 - 1}`

  `= (x + 3) {(x + 3)^2 - (1)^2}`

  `= (x + 3) (x + 3 + 1) (x + 3 - 1)`

  `= (x + 3) (x + 4) (x + 2)`

  `= (x + 2) (x + 3) (x + 4)`

   = ডানপক্ষ

    `:. x^2 + 9x^2 + 26x + 24 = (x + 2) (x + 3) (x + 4)` (দেখানো হলো)

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dekhao je, `x^3 + 9x^2 + 26x + 24 = (x + 2) (x + 3) (x + 4)`

Question:দেখাও যে, `x^3 + 9x^2 + 26x + 24 = (x + 2) (x + 3) (x + 4)`