Question

solve the following question
I) (ax + by)² + (bx - ay)²​

Answer 1

Answer:

(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

$\large\color{lime}\boxed{\colorbox{black}{Answer : - }}$

To find:

Factorise: (ax + by)² + (bx - ay)²

Solution:

(ax + by)² + (bx - ay)²

= a²x²b²y² + 2abxy + b²x²+a²y²- 2abxy

= x²(a²+b²) + y²(a²+b²)

= (a²+b²)(x²+y²)

$\color{red}Hence \: Answer \: is \: \\ \color{blue} (a²+b²)(x²+y²)$