Factorise : 4x4 + 3x2 + 1(a) (2x2 + x + 1) (2x2 + x – 1) (b) (2

1.	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)
Answer» (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)

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)

Answer»

(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)