Question

(a2-b2)-(a+b)=25 then find a+b​

Answer 1

Step-by-step explanation:

a^2-b^2=(a+b)(a-b)

LHS=

(a+b)(a-b)-(a+b)=25

(a+b){(a-b-1)}=25

a+b=25/(a-b-1)

Answer 2

The value of a + b is $\frac{25}{(a - b )- 1}$

Given:

( a² - b² ) - ( a + b ) = 25

To find:

The value of a + b

Solution:

( a² - b² ) - ( a + b ) = 25

We know that,

a² - b² = ( a + b ) × ( a - b )

Therefore,

[( a + b ) × ( a - b )]  - ( a + b ) = 25

(a + b ) ( (a - b ) - 1 ) = 25

a + b = $\frac{25}{(a - b )- 1}$

The value of a + b is $\frac{25}{(a - b )- 1}$