(b^4+2b^3+b^2)/(b+1)

Question

b⁴+2b³+b²

              

b+1

Answer 1

b²(b²+ 2b+1) / (b+1) = b²(b+1)² / (b+1) = b²(b+1)

Answer 2

(b⁴ + 2b³ + b²)/(b + 1) = b²(b² + 2b + 1)/(b + 1)

                                                                                                                        = b²(b + 1)(b + 1)/(b + 1)

 

                                    = b²(b + 1)

Answer 3

(b⁴+2b³+b²)/(b+1)

 

Factor a b² out of the terms in the numerator:

 

b²(b²+2b+1)/(b+1)

 

Factor the quadratic in the parentheses in the numerator:

 

b²(b+1)²/(b+1)

 

b²(b+1)