Why is (a+b)2 = a2+b2+2ab

Prove (a+b)2=a2+b2+2ab in geometry and algebra.

1. Why is ( a+b ) 2 = a   2 +b 2 +2ab ? This is the first formula we learn in geometry, algebra of mathematics. Lets find out why is this? Here, we are going to prove how ( a+b ) 2 = a  2 +b 2 +2ab in geometry and in algebra . FreshersSite.com

2. Introduction to Geometrical Approach Line with a point = a+b Square Area = a 2 Rectangle Area = ab FreshersSite.com a a a b a b

3. Prove ( a+b ) 2 = a  2 +b 2 +2ab in Geometry Draw a line with a point which divides a, b Total distance of this line = a+b Now we have to find out the square of a+b ie . ( a+b ) 2 The above diagram represents – a+b is a line and the square are is a  2 +b 2 +2ab Hence proved - ( a+b ) 2 = a  2 +b 2 +2ab FreshersSite.com a b a b a  2 b 2 ab ab

4. Prove ( a+b ) 2 = a  2 +b 2 +2ab in Algebra ( a+b ) 2 = ( a+b ) * ( a+b ) = (a*a + a*b) + (b *a + b*b) = ( a  2 + ab ) + ( ba + b 2 ) = a  2 + 2ab + b 2 Hence proved ( a+b ) 2 = a  2 +b 2 +2ab FreshersSite.com