Chapter 8 - Polynomials and Factoring - 8-1 Adding and Subtracting Polynomials - Practice and Problem-Solving Exercises - Page 491: 50

5ab($a^{2}$-1)

Given expression: (a$b^{2}$+b$a^{3}$)+(4$a^{3}$b-a$b^{2}$-5ab) Simplify parenthesis: a$b^{2}$+b$a^{3}$+4$a^{3}$b-a$b^{2}$-5ab Combine like terms: (b$a^{3}$+4$a^{3}$b)+(a$b^{2}$-a$b^{2}$)-5ab Simplify more : 5$a^{3}$b-5ab Factor out 5ab: 5ab ($a^{2}$-1)