. x³ + 6x²y + 11xy² + 6 y³ এর উৎপাদক কোনটি?

. x³ + 6x²y + 11xy² + 6 y³ এর উৎপাদক কোনটি?

A (x+y)(x+2y)(x+3y)

B (x+y)(x+3y)(x+5y)

C (x+y)(x+4y)(x+5y)

D (x+y)(x-y)(x+2y)

Solution

Correct Answer: Option A

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+3y) (x+2y)