Question

Simplify: (a+b+c)(a+b-c)

Answer 1

Answer:

(a+b+c)^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+ca+cb+c^2

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

{identity 4 of algabric expressions}

=(a+b+c)^2