(ax + by)2 + (bx - ay)2. factorise....
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( a + b )² = a² + b² + 2ab
( a - b )² = a² + b² - 2ab
( ax² + by² + 2.ax.by ) + ( bx² + ay² - 2.bx.ay )
a²x² + b²y² + 2abxy + b²x² + a²y² - 2abxy
a²x² + b²y² + b²x² + a²y²
( a²x² + b²x² ) ( a²y² + b²y² )
( ax² + bx² ) ( ay² + by² )
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