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Question

Factorise :

(ax+by)2+(bxay)2

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Solution

(ax+by)2+(bxay)2=a2x2+b2y2+2abxy+b2x2+a2y22abxy=a2x2+b2y2+b2x2+a2y2=a2x2+b2x2+a2y2+b2y2=x2(a2+b2)+y2(a2+b2)=(a2+b2)(x2+y2) Ans.


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