Question

Simplify: (a+b+c)²+(a-b+c)²+(a+b-c)².​

Answer 1

Answer:

3($a^{2}$+$b^{2}$+$c^{2}$)+2ab+2bc+2ca

Step-by-step explanation:

=$a^{2}$+$b^{2}$+$c^{2}$+2ab+2bc+2ca+$a^{2}$+$b^{2}$+$c^{2}$-2ab-2bd+2ca+$a^{2}$+$b^{2}$+$c^{2}$+2ab-2bc-2ca

=3($a^{2}$+$b^{2}$+$c^{2}$)+2ab+2bc+2ca