Question

Factorise: (ax+by)² + (bx-ay)²​

Answer 1

Answer:

(a²+b²)(x²+y²)

Step-by-step explanation:

we know = (a+b)²= a²+b²+2ab

(a_b)²=a²+b²-2ab

now use above equations in the question:-

=(a²x²+b²y²+2abxy)+(b²x²+a²y²-2abxy)

=a²x²+b²y²+2abxy+b²x²+a²y²-2abxy

=a²x²+b²y²b²x²+a²y²

=a²(x²+y²)+b²(x²+y²)

=(a²+b²)(x²+y²)

Hope so it helps you ;)