I have 2 more questions, This question is worked all the way through but I have no idea what was done to get the answer

1. Factor completely. If a polynomial is prime, state this. 9t^2 + 14t + 5
t^2 + 7/9t = -5/9 +(7/9)^2 t^2 + 7/9t

= (- 45 + 49)/81 (t + 7/9)^2 = 4/81 t + 7/9

= 2/9 t + 7/9 + 2/9 = t + 9/9

= t + 1 t + 7/9 - 2/9

= t + 5/9 = 9t + 5

final answer is (t+1)(9t+5)

2. If the area of a rectangle is given by 100g^2 - 220gw + 121w^2 square feet, what are possible expressions for the length and width?

Question

I have 2 more questions, This question is worked all the way through but I have no idea what was done to get the answer 

1. Factor completely. If a polynomial is prime, state this.  9t^2 + 14t + 5
 t^2 + 7/9t = -5/9 +(7/9)^2 t^2 + 7/9t

 = (- 45 + 49)/81 (t + 7/9)^2 = 4/81 t + 7/9 

= 2/9 t + 7/9 + 2/9 = t + 9/9

 = t + 1 t + 7/9 - 2/9

 = t + 5/9 = 9t + 5

 final answer is (t+1)(9t+5) 


2. If the area of a rectangle is given by 100g^2 - 220gw + 121w^2 square feet, what are possible expressions for the length and width?

angela210793 · Answer

|dw:1331731264339:dw| so the length=width=(10g-11w)