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Hugh Lucas
Mathematics
13 May, 06:38
Factor the expression completely
X^4 - 16
+3
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Sonia Martin
13 May, 06:53
0
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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