Square of a trinomial
📐 Visual Proof: (a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ca
\[
(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca
\]
a×a (Yellow)
b×b (Green)
c×c (Blue)
a×b (Light Green)
b×c (Pink)
c×a (Plum)
📏 Geometric Representation
\[ \text{Total Area} = (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca \]
∴ (a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ca