Question

factorise 1 - 2ab - (a2 + b2)

give it with a image​

Answer 1

Answer:

-(a+b+1)(a+b-1)

Step-by-step explanation:

$\tt \orange{ \underline{ \pink{Factorisation : }}}$

$\red{1 - 2ab - ( {a}^{2} + {b}^{2} )} \\ = 1 - 2ab - {a}^{2} - {b}^{2} \\ = - ( {a }^{2} +{b}^{2} + 2ab - 1) \\ = - \{ {(a + b)}^{2} - {(1)}^{2} \} \\ = - \{(a + b + 1)(a + b - 1) \} \\ \green { = - (a + b + 1)(a + b - 1)}$