x²-y²+2y-1 এর একটি উৎপাদক- 

A

x+y 

B

x-y 

C

x+y-1 

D

x+y+1

উত্তরের বিবরণ

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সমাধান:
ব্যক্ত করতে, প্রথমে সাজাই—

x2y2+2y1x^{2}-y^{2}+2y-1

y2+2y1-y^{2}+2y-1 অংশটিকে পূর্ণবর্গ আকারে লিখি—

y2+2y1=(y22y+1)=(y1)2-y^{2}+2y-1 = -(y^{2}-2y+1) = -(y-1)^{2}

সুতরাং,

x2(y1)2x^{2}-(y-1)^{2}

এটি বর্গের অন্তরঃ

(x(y1))(x+(y1))(x-(y-1))(x+(y-1))

অর্থাৎ,

(xy+1)(x+y1)(x-y+1)(x+y-1)

উত্তর: x+y1x+y-1

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Updated: 5 hours ago

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