(p²+q²)²-4p²q²

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(p²+q²)²-4p²q²(p²+q²)²-4p²q²(p²+q²)²

(p²+q²)²-4p²q²
(p²+q²)²-4p²q²

(p²+q²)²-4p²q²
(p²+q²)²-4p²q²=p^4+2p²q²+q^4-4p²q²=p^4-2p²q²+q^4=(p²-q²)²=(p+q)²(p-q)²