Leave out all the rest!

Algebra Level 5

3x218x+4y232y+91=300\large 3x^{2} - 18x + 4y^{2} -32y +91 = 300

Given that x,yx, y are real numbers that satisfy the equation above, find the maximum value of x2+y2+2xy14x14y+49x^{2} + y^{2} +2xy -14x-14y +49.

PS : This problem can also be solved without using Jensen's Inequality.

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