esjh201516 esjh201516
  • 06-04-2018
  • Mathematics
contestada

What is one factor of 2x^2-32y^2

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altavistard
altavistard altavistard
  • 09-04-2018
Here you have two terms connected by the "subtraction" symbol.

The two coefficients are 2 and 32, and one factor common to both of these is 2.     Thus, 2x^2-32y^2 = 2(x^2-16y^2).

You could stop here.  But it'd make more sense to continue, since x^2-16y^2 is easy to factor:

The three factors of 
2x^2-32y^2  are 2, x-4 and x+4
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