Factorize:
(ax + by)2 + (bx - ay)2
We have,
At first we’ll take common from the expression
= a2x2 + b2y2 + 2abxy + b2x2 + a2y2 – 2abxy
= a2x2 + b2y2 + b2x2 + a2y2
= a2x2 + b2x2 + b2y2 + a2y2
= x2 (a2 + b2) + y2 (a2 + b2)
= (a2 + b2) (x2 + y2)
Hence,
The given expression can be factorized as:
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