Question

Factorise: 25x^2 - 1/49

Answer 1

`(5x + (1)/(7) )(5x - (1)/(7) )`

Explanation:

Given,

`{25x}^(2) - (1)/(49)`

`= {(5x)}^(2) - {( (1)/(7)) }^(2)`

Since,

`{x}^(2) - {y}^(2) = (x + y)(x - y)`

Then,

`= (5x + (1)/(7) )(5x - (1)/(7) )(ans)`