SOLUTION: i need help on how to do these please, factor using special products?? 1) 9x^2-12x+4 2) 16x^2+8xy+y^2 3) x^2(x^4-16)-25(x^4-16) 4) 4x^2+12xy+9y^2-25z^2 5) 15x^2-21xy+10xy-14y^

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i need help on how to do these please, factor using special products?? 1) 9x^2-12x+4 2) 16x^2+8xy+y^2 3) x^2(x^4-16)-25(x^4-16) 4) 4x^2+12xy+9y^2-25z^2 5) 15x^2-21xy+10xy-14y^      Log On


   

Question 446245: i need help on how to do these please, factor using special products??
1) 9x^2-12x+4
2) 16x^2+8xy+y^2
3) x^2(x^4-16)-25(x^4-16)
4) 4x^2+12xy+9y^2-25z^2
5) 15x^2-21xy+10xy-14y^2
6) 36x^2+24x+4
7) x(x^2+y^2)-5x(x^2+y^2)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) 9x%5E2-12x%2B4+=+%283x-2%29%283x-2%29=%283x-2%29%5E2
2) 16x%5E2%2B8xy%2By%5E2+=+%284x%2By%29%284x%2By%29=%284x%2By%29%5E2
3) x%5E2red%28%28x%5E4-16%29%29-25red%28%28x%5E4-16%29%29 Factor the x%5E4-16
3a) +red%28%28x%5E4-16%29%29+%28x%5E2-25%29 Now factor both the difference of squares.
3b) red%28%28x%5E2%2B4%29%28x%5E2-4%29%29%28x%2B5%29%28x-5%29 Factor the difference of squares again.
3c) red%28%28x%5E2%2B4%29%29blue%28%28x%2B2%29%28x-2%29%29%28x%2B5%29%28x-5%29
4) red%28%284x%5E2%2B12xy%2B9y%5E2%29%29-25z%5E2 Factor the red group.
4a) red%28%282x%2B3y%29%5E2%29-25z%5E2 Now factor the difference of squares.
4b %28%282x%2B3y%29%2B5z%29%28%282x%2B3y%29-5z%29%29
5) 15x%5E2red%28%28-21xy%2B10xy%29%29-14y%5E2 Combine like-terms (in red).
5a) 15x%5E2-11xy-14y%5E2 Factor.
5b) %283x%2B2y%29%285x-7y%29
6) 36x%5E2%2B24x%2B4+=+%286x%2B2%29%286x%2B2%29=%286x%2B2%29%5E2
7) x%28x%5E2%2By%5E2%29-5x%28x%5E2%2By%5E2%29 Factor the x%5E2%2By%5E2
7a) x%5E2%2By%5E2%29%28x-5x%29 Simplify.
7b) %28x%5E2%2By%5E2%29%28-4x%29+=+-4x%28x%5E2%2By%5E2%29