Question

Hey everyone

factorise (ax+by)²+(bx-ay)²

Please answer with steps and don't spam!!​

Answer 1

Answer:

ax2+by2 +2 ax×by +bx2 + ay2-2bx×ay

Answer 2

(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)