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Factorise : 4x^4 + 3x^2 + 1

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Factorise : 4x4  + 3x2  + 1

(a) (2x2 + x + 1) (2x2 + x – 1) 

(b) (2x2 + x + 1) (2x2 – x + 1) 

(c) (2x2 + x – 1) (2x2 – x + 1) 

(d) (2x2 – x + 1) (2x2 – x – 1)

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1 Answer

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(b) (2x2 + x + 1) (2x2 – x + 1)

4x4 + 3x2 + 1

= 4x4 + 4x2 + 1 - x2

= (2x2 + 1) - x2

Now, factorise using x2 - y2 =(x + y)(x - y)

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