Paula66
Paula66
06-02-2015
Mathematics
Answered
Factor the expression completely
X^4 - 16
Answer :
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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