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Needing help understanding steps

I am trying to study for the accuplacer, but I am not understanding the steps to get the answers to some problems. 
 
1. solve for n:   a2+n+2b2=(a+b)(a+2b)
 
2. (x3y5-xy4+x2y2) / (xy)
 
3. (x5y7-xy4) / (xy)
 
4. x3+6x+8x
 
5. t(t-2)-3t(t-2)
 
 
Any help is appreciated! If there are any links that might help me to understand these questions is welcomed too. 
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1 Answer

1.  a2+n+2b2=(a+b)(a+2b)
 
a2 +n +2b2 = a2 + 2ab + ab + 2b2
a2 +n +2b2 = a2 + 3ab + 2b2
So n = 3ab
 
2.  (x3y5-xy4+x2y2)/xy = xy*(x2y4-y3+xy)/xy = x2y4 - y3 + xy   for all x,y ≠ 0
 
3.  (x5y7 - xy4)/xy = (x4y6 - y3)*xy/xy = x4y6 - y3    for all x,y ≠ 0
 
4.  x3+6x+8x = x3+14x
 
5.  t(t-2) - 3t(t-2) = (t-3t)(t-2) = (-2t)(t-2)

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