factorise the following equation p4+q4+p2q2
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4(p+q)+4pq
4[(p+q)+pq]
4[(p+q)+pq]
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10
it is not an equation it is an expression
p4+q4+p²q²
= (p²)² +(q²)² +2p²q²-p²q²
=(p²+q²)² -p²q²
=(p²+q²)² - (pq)²
=(p²+q² +pq)(p²+q²-pq) {∵ a²-b² =(a+b)(a-b)}
p4+q4+p²q²
= (p²)² +(q²)² +2p²q²-p²q²
=(p²+q²)² -p²q²
=(p²+q²)² - (pq)²
=(p²+q² +pq)(p²+q²-pq) {∵ a²-b² =(a+b)(a-b)}
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