Question

factorise x2-49 by using (a2-b2) formula

Answer 1

Heya,

By using identity : a² - b²

Solution :

x² - 49

= x² - 7²

= (x + 7) (x - 7)

In the given identity,

a² - b² = (a + b) (a - b)

Here,

x² = a²

49 = 7² = b²

Given Solution,

a² - b² = x² - 7²

= (a + b) (a - b) = (x + 7) (x - 7)

Therefore,

x² - 49 = (x + 7) (x - 7)

___________
hope it helps !

Answer 2

Given :- x² - 49    

We have to factorise using a² - b² formula.    

x² can be written as = (x)²    

And 49 can be written as = 7²    

We know that a² - b² = (a + b) (a - b)    

Therefore x² - 49 = x² - 7²    
= (x + 7) (x - 7)    

HOPE THIS HELPS..!!