# Factorize:4x4 + 7x2 – 2

We have,

Now by using middle-term splitting, we get

= 4y2 + 7y – 2

= 4y2 + 8y – y – 2

= 4y (y + 2) – (y + 2)

= (y + 2) (4y – 1)

Now,

Replacing y by x2, we get

4x4 + 7x2 – 2

= (x2 + 2) (4x2 – 1) [Therefore, a2 – b2 = (a – b) (a + b)]

= (x2 + 2) (2x + 1) (2x – 1)

Hence,

The given expression can be factorized as:

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