Question

if pq=3 and p+q=6 then the value of (2p+2q)2​

Answer 1

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Answer 2

Step-by-step explanation:

(2p+2q)² = (2p)² + 2(2p)(2q) + (2q)² = 4p² + 8pq + 4q²

Now,

pq = 3 and p+q = 6

4p² + 8pq + 4q² = 4p² + 8×3 + 4q² = 4p² + 4q² + 24 = 4(p+q)² + 24 = 4(6)²+24 = 144 + 24 = 168