Question

Factorise a2 + b2 - c2  - 2ab​

Answer 1

Step-by-step explanation:

$\huge{\underline{\underline{Given→}}}$

• $\sf\green{Equation=a^2+b^2-c^2-2ab}$

$\huge{\underline{\underline{To\:Perform→}}}$

$\sf\pink{→Factorisation\:of\:the\:given\:equation.}$

$\huge{\underline{\underline{Answer→}}}$

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

$\sf{\boxed{\boxed{\red{→(a-b)^2-c^2✔}}}}$

$\bold{\underline{\underline{Identity\:used→}}}$

$→a^2+b^2-2ab=(a-b)^2$

HOPE IT HELPS.