Question

Factorise the following:

a²(x + y) + b²(x + y)

Answer 1

Given: a²(x + y) + b²(x + y)

Step-wise calculation:

1. Observe that (x + y) is a common factor in both terms.

2. Factor out the common term (x + y):

a²(x + y) + b²(x + y) = (x + y)(a² + b²)