Question

factorise the following:-
(ax-by)² - (bx-ay)²

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Answer 1

Answer:

(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)