Question

X²-2ax+a²-b² by factorisation

Answer 1

Answer:(x - a + b)(x - a - b)  

Step-by-step explanation:

Given,

x² - 2ax + a² - b²

= x² - ax  - ax + a² - b²

= x(x - a) - a(x - a) - b²

= (x-a)(x-a) - b²

= (x-a)² - b²

We know, m² - n² = (m + n)(m - n)

= (x - a + b)(x - a - b)