Question

ax+by the whole raised to 2 +ay -bx the whole raised to 2 factorise

Answer 1

Answer:

( x² + y²) (a² + b²)

Step-by-step explanation:

  (ax + by)² + (ay - bx)²

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

= a²x² + b²y² + a²y² + b²x²

= a²x² +  a²y² + b²x² + b²y²   ( rearrange the terms)

= a²( x² + y²) + b² (x² + y² )

= ( x² + y²) (a² + b²)