Given P(x,y) = x2 + xy + y2; Q(x,y) = x2 – xy + y2. Find the value of P(7, Q(9,4))
Explanation:
Q(9, 4) = (9)2 – (9)(4) + (4)2
= 81 – 36 + 16 = 61
∴ P(7,Q(9,4)) = P(7,61)
= (7)2 + (7)(61) + (61)2
= 49 + 427 + 3721 = 4197
Hence, option (b).
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