Question 99

Given $$P(x,y) = x^2+ xy + y^2; Q(x,y) = x^2- xy + y^2.$$ Find the value of $$P(7, Q(9,4))$$

Solution

Q(x,y) = x^2- xy + y^2.$$

Q(9,4) = $$9^2-4\cdot9+4^2=81+16-36=61$$

P(7,61) = $$7^2+7\cdot61+61^2=\ 49+427+3721=4197$$

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