Now we will learn to expand the square of a trinomial (a + b + c).Let (b + c) = x Then (a + b + c)2 = (a + x)2 = a2 + 2ax + x2 = a2 + 2a (b + c) + (b + c)2 = a2 + 2ab + 2ac + (b2 + c2 + 2bc) = a2 + b2 + c2 + 2ab + 2bc + 2caTherefore, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Grade 12th passAlgebra

(a+b+c)^2

Sarnali sarkar

9 Years agoGrade 12th pass

1 Answer

Tanishq Chourishi

9 Years ago

Now we will learn to expand the square of a trinomial (a + b + c).

Let (b + c) = x

Then (a + b + c)² = (a + x)² = a² + 2ax + x²

                         = a² + 2a (b + c) + (b + c)²

                         = a² + 2ab + 2ac + (b² + c² + 2bc)

                         = a² + b² + c² + 2ab + 2bc + 2ca

Therefore, (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca