Question

(a+b+c)²

Answer 1

\(\left(a+b+c\right)^2\)

\(=\left[\left(a+b\right)+c\right]^2\)

\(=\left(a+b\right)^2+2\left(a+b\right)c+c^2\)

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

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

Answer 2

\(\left(a+b+c\right)^2\)

\(=\left(a+b\right)^2+2\left(a+b\right)c+c^2\)

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

\(=a^2+b^2+c^2+2\left(ab+bc+ac\right)\)

Answer 3

\(=a^2+b^2+c^2+2ab+2bc+2ca\)

Answer 4

\(\left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2bc+2ac\)

Answer 5

(A+B+C)²=a²⁺b²+c²+2ab+2bc+2ac

Answer 6

\(\left(a+b+c\right)^2\)
\(=\text{[}\left(a+b\right)+c\text{]}^2\)
\(=\left(a+b\right)^2+2\left(a+b\right)c+c\)
\(=a^2+2ab+b^2+2ac+2bc+c^2\)
\(=a^2+b^2+c^2+2ab+2bc+2ac\)