Question:ভাগ কর (১ম রাশিকে ২য় রাশি দ্বারা): 

 ক.`(3x^2)/(2a), (4y^2)/(15zx)`

 খ. `(9a^2b^2)/(4c^2), (16a^3b)/(3c^3)`

 গ. `(21a^4b^4c^4)/(4x^3y^3z^3), (7a^2b^2c^2)/(12xyz)`

 ঘ. `x/y, (x + y)/y`

 ঙ. `(a + b)^2/(a - b)^2, (a^2 - b^2)/(a + b)`

 চ. `(x^3 - y^3)/(x + y), (x^2 + xy + y^2)/(x^2 - y^2)`

 ছ. `(a^3 + b^3)/(a - b), (a^2 - ab + b^2)/(a^2 - b^2)`

 জ. `(x^2 - 7x + 12)/(x^2 - 4), (x^2 - 16)/(x^2 - 3x + 2)`

 ঝ.` (x^2 - x - 30)/(x^2 - 36), (x^2 + 13x + 40)/(x^2 + x - 56)` 

Answer ক. নির্ণেয় ভাগফল

   `= (3x^2)/(2a) -: (4y^2)/(15zx)`

   `= (3x^2)/(2a) xx (15zx)/(4y^2)`

   `= (45zx^3)/(8ay^2)`

    উত্তর: `(45zx^3)/(8ay^2)`

    

 খ. নির্ণেয় ভাগফল

     `= (9a^2b^2)/(4c^2) -:  (16a^3b)/(3c^3)`

     `= (9a^2b^2)/(4c^2) xx (3c^3)/(16a^3b)`

     `= (27a^2b^2c^3)/(64a^3bc^2)`

     `= (27bc)/(64a)`

    উত্তর: `(27bc)/(64a)`

 গ. নির্ণেয় ভাগফল 

   `= (21a^4b^4c^4)/(4x^3y^3z^3) -: (7a^2b^2c^2)/(12xyz)`

   `= (21a^4b^4c^4)/(4x^3y^3z^3) xx (12xyz)/(7a^2b^2c^2)`

   `= 3a^2b^2c^2 xx 3/(x^2y^2z^2)`

   `= (9a^2b^2c^2)/(x^2y^2z^2)`

       উত্তর:`(9a^2b^2c^2)/(x^2y^2z^2)`

 ঘ. নির্ণেয় ভাগফল 

   `= x/y -: (x + y)/y`

   `= x/y xx y/(x + y)`

   `= x/(x + y)`

   উত্তর: `x/(x + y)`
 ঙ. নির্ণেয় ভাগফল 

     `= (a + b)^2/(a - b)^2 -: (a^2 - b^2)/(a + b)`

     `= (a + b)^2/(a - b)^2 xx (a + b)/(a^2 - b^2)`

     `= ((a + b) (a + b))/((a - b) (a - b)) xx (a + b)/((a + b) (a - b))`

     `= (a + b)^2/(a - b)^3`

      উত্তর: `(a + b)^2/(a - b)^3`

 চ.  নির্ণেয় ভাগফল 

   `= (x^3 - y^3)/(x + y) -: (x^2 + xy + y^2)/(x^2 - y^2)`

   `= ((x - y) (x^2 + xy + y^2))/(x + y) xx ((x + y) (x - y))/(x^2 + xy + y^2)`

   `= (x - y)^2`

     উত্তর:`(x - y)^2`

     

 ছ.   নির্ণেয় ভাগফল 

   `= (a^3 + b^3)/(a - b) -: (a^2 - ab + b^2)/(a^2 - b^2)`

   `= ((a + b) (a^2 - ab + b^2))/(a - b) xx ((a + b) (a - b))/(a^2 - ab + b^2)`

   `= (a + b)^2`

     উত্তর: `(a + b)^2`

 জ.  নির্ণেয় ভাগফল 

    `= (x^2 - 7x + 12)/(x^2 - 4) -: (x^2 - 16)/(x^2 - 3x + 2)`

    `= (x^2 - 4x - 3x + 12)/(x^2 - 2^2) -: (x^2 - 4^2)/(x^2 - 2x - x + 2)`

    `= (x(x - 4) - 3(x - 4))/((x + 2)(x - 2)) -: ((x + 4)(x - 4))/(x(x - 2) - 1(x - 2))`

    `= ((x - 4)(x - 3))/((x + 2) (x - 2)) xx ((x - 2)(x - 1))/((x + 4)(x - 4))`

    `= ((x - 3) (x - 1))/((x + 2)(x + 4))`

      উত্তর: `((x - 3) (x - 1))/((x + 2)(x + 4))`


 ঝ. নির্ণেয় ভাগফল 
   
     ` = (x^2 - x - 30)/(x^2 - 36) -: (x^2 + 13x + 40)/(x^2 + x - 56)`

      `= (x^2 - 6x + 5x - 30)/(x^2 - 6^2) -: (x^2 + 8x + 5x + 40)/(x^2 + 8x - 7x - 56)`

      `= (x(x - 6) + 5(x - 6))/((x + 6)(x - 6)) -: (x(x + 8) + 5(x + 8))/(x(x + 8) - 7(x + 8))`

      `= ((x - 6)(x + 5))/((x + 6) (x - 6)) -: ((x + 8) (x + 5))/((x + 8) (x - 7))`

      `= (x + 5)/(x + 6) xx (x - 7)/(x + 5)`

      `= (x - 7)/(x + 6)`

          উত্তর: `(x - 7)/(x + 6)` 

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