Question

Factorise 1 - 25 (a+b)^2

Answer 1

Explanation:

1 - 25 (a+b)^2 = 1 - 5² (a+b)²

= 1 - (5*[a + b) ]² {
`a^(m) *a^(n)  = a^(m+n)` }

= 1 - (5a +5b)²

= (1 + 5a +5b) (1 - [5a + 5b]) { a² - b² = (a + b)(a - b) }

=(1 + 5a +5b) (1- 5a - 5b)