Question

Factorise the following:

ax² + bx² + ay² + by²

Answer 1

Given expression: ax² + bx² + ay² + by²

Step-wise calculation:

1. Group the terms:

(ax² + bx²) + (ay² + by²)

2. Factor out common factors in each group:

x²(a + b) + y²(a + b)

3. Factor out the common binomial (a + b):

(a + b)(x² + y²)