Question

simplify (a+b+c) (a+b-c)​

Answer 1

a²+b²-c²+2ab

Step-by-step explanation:

\begin{gathered}(a+b+c)(a+b-c)\\\\= a^2 + ab - ac + ab + b^2 - bc + ac + bc - c^2\\\\= a^2 + b^2 + c^2 + ab + ab -ac + ac - bc + bc\\\\= \boxed{a^2 + b^2 - c^2 + 2ab}\end{gathered}

(a+b+c)(a+b−c)

=a

2

+ab−ac+ab+b

2

−bc+ac+bc−c

2

=a

2

+b

2

+c

2

+ab+ab−ac+ac−bc+bc

=

a

2

+b

2

−c

2

+2ab

Answer 2

Answer:

Hello! The answer to this is :-

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

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

=a²+ab-ac+ba+b²-bc+ca+cb-c²

=a²+b²-c²+2ab