Find the following products:(p2 + 16) (p2 – 1/4)

1.	Find the following products:(p2 + 16) (p2 – 1/4)
Answer» Given that, (p² + 16) (p² – 1/4) = p² (p² – 1/4) + 16 (p² – 1/4) = p⁴ – 1/4p² + 16p² – 4 = p⁴ + 63/4p² – 4

Answer»

Given that,

(p² + 16) (p² – 1/4)

= p² (p² – 1/4) + 16 (p² – 1/4)

= p⁴ – 1/4p² + 16p² – 4

= p⁴ + 63/4p² – 4

Discussion

Simplify:(i) (x – y) (x + y) (x2 + y2) (x4 + y4)(ii) (2x – 1) (2x + 1) (4x2 + 1) (16x4 + 1)
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Find the product of the binomials:(x4 + 2/x2) (x4 – 2/x2)