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)Question:উৎপাদকে বিশ্লেষণ কর: `4x^4 - 27x^2 - 81`
`4x^4 - 27x^2 - 81` `= 4x^4 - 36x^2 + 9x^2 - 81` `= 4x^2(x^2 - 9) + 9(x^2 - 9)` `= (x^2 - 9) (4x^2 + 9)` `= (x^2 - 3^2) (4x^2 + 9)` `= (x + 3) (x - 3) (4x^2 + 9)` (Ans)
Question:উৎপাদকে বিশ্লেষণ কর: `ax^2 + (a^2 + 1) x + a`
`ax^2 + (a^2 + 1) x + a` `= ax^2 + a^2x + x + a` `= ax(x + a) + 1(x + a)` `= (x + a) (ax + 1)` (Ans)