SOLUTION: Factor this expression completely. Note: Place factors alphabetically. ab + 4 + a + 4b -- Thanks so very much to whoever helps(:

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor this expression completely. Note: Place factors alphabetically. ab + 4 + a + 4b -- Thanks so very much to whoever helps(:      Log On


   

Question 612895: Factor this expression completely. Note: Place factors alphabetically.
ab + 4 + a + 4b

-- Thanks so very much to whoever helps(:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ab + 4 + a + 4b

ab + a + 4 + 4b

(ab + a) + (4 + 4b)

a(b + 1) + (4 + 4b)

a(b + 1) + 4(1 + b)

a(b + 1) + 4(b + 1)

(a + 4)(b + 1)

So ab + 4 + a + 4b completely factors to (a + 4)(b + 1)