Question

p-q=16 and pq=20 find p⁴+q⁴​

Answer 1

Answer:

p⁴+q⁴=409560

Step-by-step explanation:

(p²)²+(q²)²

(p²+q²)²-2pq

{(p-q)²+2pq}²-2pq

{(16)²+2(20)}²-2(20)

{256+40}²-40

409600-40

409560

Answer 2

Step-by-step explanation:

(p-q)²=p²+q²-2pq

(16)²=p²+q²-2(20)

p²+q²=256+40

p²+q²=296

(p²+q²)²=p⁴+q⁴+2p²q²

(296)²=p⁴+q⁴+2(20)²

87616=p⁴+q⁴+800

p⁴+q⁴=86816

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