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Question

(ax+by)^2+(bx-ay)^2 factorise it 


Solution

(ax + by)² + (bx -ay)² 

=a²x² +b²y² +2abxy +b²x² +a²y² -2abxy    (

=a²x² + b²x² + b²y² +a²y² 

=x² (a² + b²) + y²(a²+ b²)

=(a² + b²)(x² + y²)

Hope this helps :)

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