এর সঙ্গে কত যোগ করলে যোগফল একটি পূর্ণবর্গ হবে?
Created: 5 years ago |
Updated: 1 month ago
best des
x2 - 8x - 8y + 16 + y2
= x2 + y2 + ( - 4)2 + 2.x.y + 2.y( - 4) + 2( - 4)x - 2xy
= x2 + y2 + ( - 4)2 + 2xy - 8y - 8x - 2xy = (x + y - 4)2 - 2xy
Md Azizur Rahman
Founder of Satt
ব্যাখ্যা: x2-8x-8y+16+y2
=x2+y2+16-8x-8y
=(x)2+(y)2+(4)2-2.x.y+2.y.(-4)+2.(-4).x-2xy
=(x+y-4)2-2xy
সুতরাং রাশিটির সাথে 2xy যোগ করলে রাশিটি পূর্ণবর্গ হবে।
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