Question

Expand (a + b – c)²

please help​

Answer 1

Step-by-step explanation:

(a+b-c)^2

Can be expressed as

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

On expansion of the above expression

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

=a^2+ab-ac+ba+b^2-bc-ca-cb+c^2

Rearrange the above equation

=a^2+b^2+c^2+ab+ba-ac-ca-bc-cb

Rearrange by commutative

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

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

On taking out the common terms, the expansion results in the final answer

=a^2+b^2+c^2+2(ab-ac-bc)

HOPE IT HELPS

Answer 2

• continue ans :

= a2 + b2+ c2 + 2 ab + 2 bc + 2ca