Question

factorize the expression -

${(ax +by)}^{2} - {(bx + ay)}^{2}$
​

Answer 1

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)