x3+6x2y+11xy2+6y3 এর উৎপাদকে বিশ্লেষণ কোনটি?
Solution
Correct Answer: Option B
x3+6x2y+11xy2+6y3
= x3+x2y+5x2y+5xy2+6xy2+6y3
= x2(x+y)+5xy(x+y)+6y2(x+y)
= (x+y)(x2+5xy+6y2)
= (x+y)(x2+3xy+2xy+6y2)
= (x+y)(x+(x+3y)+2y(x+3y))
= (x+y)(x+2y)(x+3y)
= x3+x2y+5x2y+5xy2+6xy2+6y3
= x2(x+y)+5xy(x+y)+6y2(x+y)
= (x+y)(x2+5xy+6y2)
= (x+y)(x2+3xy+2xy+6y2)
= (x+y)(x+(x+3y)+2y(x+3y))
= (x+y)(x+2y)(x+3y)
Practice More Questions on Our App!
Download our app for free and access thousands of MCQ questions with detailed solutions