Question

SIMPLIFY
(p²+q²) (p²-q²) + 2p²q² + 3q⁴ - (p² + q²)2
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Answer 1

Answer:

(p^2+q^2)(p^2-q^2)+2p^2q^2+3q^4-(p^2+q^2)^2

=(p^2)^2-(q^2)^2+2p^2q^2+3q^4-(p^4+q^4+2p^2q^2)

=p^4-q^4+2p^2q^2+3q^4-p^4-q^4-2p^2q^2

= -2q^4+3q^4

= q^4