SOLUTION: Please help with factoring completely. 1.x^3-8 2.t^2-4t-21 3.x^3-2x^2-4x+8 4.27^6+125y^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help with factoring completely. 1.x^3-8 2.t^2-4t-21 3.x^3-2x^2-4x+8 4.27^6+125y^3       Log On


   



Question 1040687: Please help with factoring completely.
1.x^3-8
2.t^2-4t-21
3.x^3-2x^2-4x+8
4.27^6+125y^3

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  x^3-8           = %28x-2%29%2A%28x%5E2+%2B2x+%2B+4%29

2.  t^2-4t-21       = check your writing

3.  x^3-2x^2-4x+8   = x%5E2%2A%28x-2%29+-+4%2A%28x-2%29 = %28x%5E2-4%29%2A%28x-2%29 = %28x-2%29%5E2%2A%28x%2B2%29.

4.  27^6+125y^3     = %2827%5E2%2B5y%29%2A%2827%5E4+-+27%5E2%2A5y+%2B+25y%5E2%29