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Factorize each of the following expressions:  (2x + 1)^2 – 9x^4

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Factorize each of the following expressions:

 (2x + 1)2 – 9x4

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Best answer

We have,

(2x + 1)2 – 9x4

= (2x + 1)2 – (3x2)2

= (2x + 1 + 3x2) (2x + 1 – 3x2)

= (3x2 + 2x + 1) (-3x2 + 2x + 1)

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