(ax+by)^2+(bx-ay)^2

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Yogita Ingle 7 years, 2 months ago
(ax + by)2 + (bx - ay)2
= a2x2 + 2abxy + b2y2 + b2x2 - 2abxy + a2y2
= a2x2 + b2y2 + b2x2 + a2y2
= x2 (a2 + b2 ) + y2 (a2 + b2)
= (a2 + b2) (x2 + y2)
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