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Paula66 Paula66
  • 06-02-2015
  • Mathematics
Answered

Factor the expression completely

X^4 - 16

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 06-02-2015

note: (x)(y) means x times y

this is the difference of 2 perfect squares
(x^2)-(y^2)=(x+y)(x-y)

so
x^4-16=(x^2-4)(x+4)
x^2-4 is also the difference of 2 perfect squares
x^2-4=(x-2)(x+2)

the answer is
(x-2)(x+2)(x+4)

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