(ax+by)²+(bx-ay)² factorise
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here is the answer
(ax+by)^2+(bx+ay)^2
a^2.x^2+b^2.y^2+2axby+b^2.x^2+a^2.y^2+2axby
a^2(x^2+y^2)+b^2(x^2+y^2)+4axby
(x^2+y^2)(a^2+b^2)+4axby
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