Question:উৎপাদকে বিশ্লেষণ কর: `a^2b^2 - 8ab - 105`
`a^2b^2 - 8ab - 105` `= a^2b^2 + 7ab - 15ab - 105` `= ab(ab + 7) - 15(ab + 7)` `= (ab + 7) (ab - 15)` (Ans)
Question:উৎপাদকে বিশ্লেষণ কর: `x^2 - 37x - 650`
`x^2 - 37x - 650` `= x^2 + 13x - 50x - 650` `= x(x + 13) - 50(x + 13)` `= (x + 13) (x - 50)` (Ans)
Question:উৎপাদকে বিশ্লেষণ কর: `4x^4 - 25x^2 + 36`
`4x^4 - 25x^2 + 36`
`= 4x^4 - 16x^2 - 9x^2 + 36`
`= 4x^2 (x^2 - 4) - 9(x^2 - 4)`
`= (x^2 - 4) (4x^2 - 9)`
`= (x^2 - 2^2) {(2x)^2 - 3^2}`
`= (x + 2) (x - 2) (2x + 3) (2x - 3)` (Ans)Question:উৎপাদকে বিশ্লেষণ কর: `12x^2 - 38x + 20`
`12x^2 - 38x + 20`
`= 2(6x^2 - 19x + 10)`
`= 2(6x^2 - 4x - 15x + 10)`
`= 2{2x(3x - 2) - 5(3x - 2)}`
`= 2(3x - 2) (2x - 5)` (Ans)Question:উৎপাদকে বিশ্লেষণ কর: `9x^2y^2 - 5xy^2 - 14y^2`
`9x^2y^2 - 5xy^2 - 14y^2`
`= y^2 (9x^2 - 5x - 14)`
`= y^2(9x^2 - 14x + 9x - 14)`
`= y^2 {x(9x - 14) + 1(9x - 14)}`
`= y^2 (9x - 14) (x + 1)` (Ans)