Question

Multiply.
(i) (a - b + c) by (a - b-c)​

Answer 1

Answer:

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

Step-by-step explanation:

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

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

=a^2-ab-ac-ab+b^2+cb+ac-cb-c^2

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

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

Answer 2

Step-by-step explanation:

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