SOLUTION: Factor completely: 16x^3-t^4x^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor completely: 16x^3-t^4x^3      Log On


   

Question 317003: Factor completely:
16x^3-t^4x^3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
16x%5E3-t%5E4x%5E3 First factor the x%5E3
x%5E3%2816-t%5E4%29 The binomial can be seen as the difference of squares.
x%5E3%28%284%29%5E2-%28t%5E2%29%5E2%29 Factor the difference of squares.
x%5E3%284-t%5E2%29%284%2Bt%5E2%29 Now you have another difference of squares %282%5E2-t%5E2%29 so you can factor this as well.
highlight%28x%5E3%282%2Bt%29%282-t%29%284%2Bt%5E2%29%29...and there you have it!