Question

Factorize
(ax+by)^(2)+(bx-ay)^(2)
(for class 8th)​

Answer 1

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Here's ur answer

(ax+by)² + (bx-ay)²

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

= a²x² + a²y² + b²y² + b²x²

= a²(x² + y²) + b²(x² + y²)

= (a² + b²)(x² + y²)

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