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in Algebraic Expressions by (49.2k points)
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The factors of x4  + 4 are

(a) (x2 + 2)2 

(b) (x2 + 2)(x2 – 2)2 

(c) (x2 + 2x + 2) (x2 – 2x + 2) 

(d) (x2 – 2)2

1 Answer

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Best answer

(c) (x2 + 2x +2)(x2 - 2x + 2)

x4 + 4

= x4 + 4 + 4x2 - 4x2            (Note the step)

= (x2 + 2)2 - (2x)2

= (x2 + 2x +2)(x2 - 2x + 2)

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