x²−y(y−2)−1 এর উৎপাদক নিচের কোনটি?
ক) (x - y - 1) (x-y + 1)
খ) (x - y + 1) (x+y -1)
গ) (x + y +1) (x-y - 1)
ঘ) (x - y) (x + y +1)
বিস্তারিত ব্যাখ্যা:
x²-y(y-2)-1
=x²-y²+2y-1
=x²-(y²-2y+1)
=x²-(y-1)²
=(x+y-1)(x-y+1)
Related Questions
ক) (x-3)(4x-11)
খ) (4x-3)(x-11)
গ) (2x-3)(2x-11)
ঘ) (x-3)(x-11)
Note :
4x²−23x+33
=4x²−12x−11x+33
= 4x(x − 3) − 11(x − 3)
= (x - 3)(4x - 11) (Answer)
ক) x + y + 1
খ) x - y
গ) x + y -1
ঘ) x - y -1
Note :
x²-y²+2y-1
=y²-2y+1-x²
=(y-1)²-x²
=(x+y-1)(y-1-x)
(ans)
ক) (x+3) (2x-5)
খ) (x-3) (2x-5)
গ) (x-3) (2x+5)
ঘ) (x+3) (2x+5)
Note :
2x² + x - 15
= 2x² + 6x - 5x - 15
= 2x(x + 3) - 5(x + 3)
= (x + 3)(2x - 5)
ক) (√2x+5)(2x²-5√2x-25)
খ) (√2x + 5)(2x²- 5√2x + 25)
গ) (√2x+5)(2x²+5√2x-25)
ঘ) (√2x−5)(2x²+5√2x+25)
Note :
2√2x³+125
= √2.√2.√2x³ + (5)³
= (√2x)³ + (5)³
= (√2x + 5)(2x²- 5√2x + 25)
ক) (2a-3)
খ) (2a+3)
গ) (a-3)
ঘ) (3a+2)
Note :
6a² + a - 15
= 6a² + 10a - 9a - 15
= 2a(3a + 5) - 3(3a + 5)
= (3a + 5)(2a - 3)
ক) (x−a−1)(x−a+2)
খ) (x+a+1)(x−a-2)
গ) (x−a+1)(x+a-1)
ঘ) (x−a−1)(x+a+2)
Note :
x²+x-(a + 1) (a + 2)
= x²+x-(a + 1) (a + 1 + 1)
= x² + x-p(p+1) [ধরি (a+1)=p]
= x² + x-p²-p
=x²-p²+x-p
=(x-p) (x+p)+(x-p)
=(x-p)(x+p+1)
= {x-(a+1)} {x+(a+1)+1}
=(x-a-1) (x +a+2)
জব সলুশন
