factorise by grouping method (ax+by)^2 + (bx-ay)^2
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(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)
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=a²x² +b²y² +2abxy +b²x² +a²y² -2abxy
=a²x² + b²x² + b²y² +a²y²
=x² (a² + b²) + y²(a²+ b²)
=(a² + b²)(x² + y²)
hoping help you
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