SOLUTION: {{{(2y-3)^2}}}

Algebra ->  Equations -> SOLUTION: {{{(2y-3)^2}}}       Log On


   

Question 206246: %282y-3%29%5E2
Found 2 solutions by Marth, Targetweek:
Answer by Marth(57) About Me  (Show Source):
Answer by Targetweek(62) About Me  (Show Source):
You can put this solution on YOUR website!
1. Well...
- %28a-b%29%5E2+=+a%5E2+-+2ab+-+b%5E2 and likewise...
- %28a%2Bb%29%5E2+=+a%5E2+%2B+2ab+%2B+b%5E2
2. So simply plug in your equation
- %282y-3%29%5E2
- a+=+2y and b+=+3
- %28a-b%29%5E2+=+a%5E2+-+2ab+-+b%5E2 (The stuff on the left side isn't included in the formula i'm just leaving it over there for now to show you where i got the values from
- %282y-3%29%5E2+=+%282y%5E2%29+-+2%282y%29%283%29+-+%283%29%5E2
3. Finally simplify
- %282y%5E2%29+-+2%282y%29%283%29+-+%283%29%5E2
- %282%5E2%29%28y%5E2%29+-+12y+-+9
= 4y%5E2+-+12y+-+9 And there's your answer