Mathematics complete square formula 1. Known (x + y ^ 2) = 16, (X-Y) ^ 2 = 4, find x ^ 2 + XY + y ^ 2 2.（x-2y+3z）^2 3.[(2a+b)(2a-b)]^2 4. The side length of a square is a cm. Reduce the side length of the square by 6cm and increase it by 6cm respectively. What is the sum of the areas of the three squares?

X ^ 2 + XY + y ^ 2 = 13 because (x + y ^ 2) = x ^ 2 + 2XY + y ^ 2 = 16 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; (X-Y) ^ 2 = x ^ 2-2xy + y ^ 2 = 4 & nbsp; X ^ 2 + 2XY + y ^ 2 - (x ^ 2-2xy + y ^ 2) = 4xy = 12xy = 3x ^ 2 + 2XY ^ 2 + (x ^ 2-2xy + y ^ 2) = 2x ^ 2 + 2Y ^ 2 = 20 and ∵ 2

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