Q. 1

# Factorize: x4+x2+25.

We have,

First we rewrite the question,

x4 + x2 + 25 = (x2)2 + 2.x2.5 + 52 - 9x2

= {(x2)2 + 2.x2.5 + 52} – (3x)2  [By using  a2 + 2ab + b2 = (a + b)2]

= {x2 + 5}2 – (3x)2                    [ By using a2 – b2 = (a + b) (a - b)

= (x2 + 5 +3x) ( x2 + 5 -3x)

Thus , the factors of .

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