Question

Factorise the following:

4x² – 25

Answer 1

Given expression: 4x² – 25

Step-wise calculation:

1. Recognize that 4x² – 25 is a difference of squares, since:

4x² = (2x)² and 25 = 5²

2. Using the identity a² – b² = (a + b)(a – b), we write: 

4x² – 25 = (2x)² – 5² 

4x² – 25 = (2x + 5)(2x – 5)