Question

factorise (ax+by)²+(bx-ay)²​

Answer 1

Answer:

(a² + b²)(x² + y²)

Step-by-step explanation:

(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)

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)