Factorise (ax +by) ^2 + (ay-bx) ^2
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(ax+by)^2=(ax)^2+(by)^2+2axby
(ay-bx)^2=(ay)^2+(bx)^2-2axby
(ax+by)^2+(ay-bx)^2= (ax)^2+(by)^2+(ay)^2+(bx)^2
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