Question

factorise : $(ax + by)^{2} + (bx - ay)^2$

Answer 1

Answer:

(ax + by)² + (bx - ay)²

= a²x² + b²y² + 2axby + b²x² + a²y² - 2bxay

= a²x² + b²y² + b²x² + a²y²

= a²(x² + y²) + b²(x² + y²)

= (a² + b²) + (x² + y²)

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