Question

＜（－︿－）＞
●_●-_-#(¬_¬)°Д°←_←→_→v_v'Ω'

(a-b)² - c²
-------------------------
Factorize **​​

Answer 1

Answer:

${a}^{2} - {b}^{2} = (a + b)(a - b)$

Here, a = (a-b) and b = c

$\: \: \: \: \: {(a - b)}^{2} - {c}^{2}$

$= (a - b + c)(a - b - c)$

Answer 2

$\bold {\huge {Answer :-}}$

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

✦ ✬Given

➛(a - b) ² - c²

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Step-By-Step Explaination

Since we know that

$\Large\bold{x^2 - y^2 = (x-y) (x+y)}$

Let consider (a - b) as x for a while

So we will get like this..

$\Large\bold{\therefore (a - b) ^2 - c^2 = (a-b-c) (a-b+c)}$

So, the factors are $\Large\bold{(a-b-c) and (a-b+c)}$