Question

Factorise (ax - by)² + (bx - ay)²​

Answer 1

Step-by-step explanation:

GIVEN:

Factorise (ax - by)² + (bx - ay)²

to find :

Factorise (ax - by)² + (bx - ay)²

solution:

• (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)