Question

Factorise - 25-a^2-b^2+2ab

Answer 1

$\huge\bf\blue{Answer:}$

Question:

$\sf{Factorise:25-a^2-b^2+2ab}$

Answer:

$\sf{Taking \:minus\:common}$

$\sf{\implies 25-(a^2+b^2-2ab)}$

$\sf{Using\: identity\:{a}^{2} + {b}^{2} - 2ab = {(a - b)}^{2} }$

$\sf{\implies 25 - {(a - b)}^{2}}$

$\sf{\implies {(5)}^{2}-{(a - b)}^{2}}$

$\sf{Using\: identity \:{a}^{2} - {b}^{2} = (a + b)(a - b)}$

$\sf{\implies (5 + a - b)(5 - a + b)}$

Hope ki answer sahi h aur tu samajh gya hoga..

Answer 2

Answer:

25-a²-b²+2ab

25-(a²+b²-2ab)

25-(a-b)²

5²-(a-b)²

(5+a-b)(5-a+b)