Question

factorise:
a^2 - 2ab + b^2- c^2​

Answer 1

Answer:

(a - b + c) (a - b - c)

Step-by-step explanation:

a^2 - 2ab + b^2- c^2

= a^2 - 2 × a × b + b^2 - c^2

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

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

Answer 2

a² - 2ab + b² - c²

rewrite a² - 2ab + b² - c² as ( a -b ) ² - c² . the difference of squares can be factored using the rule : p² - q² = ( p - q ) ( p + q )

( a - b - c ) ( a - b + c )