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

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

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

1. 1. This is the first formula we learn ingeometry, algebra of mathematics. Lets find out why is this? Here, we are going to prove how (a+b) 2 = a 2+b2+2ab in geometry and in algebra.FreshersSite.com
2. 2. Introduction to Geometrical Approach Line with a point = a+b a b a Square Area = a2 a a Rectangle Area = ab b FreshersSite.com
3. 3. Prove (a+b) 2 = a 2+b2+2ab in Geometry Draw a line with a point which divides a, b a b Total distance of this line = a+b Now we have to find out the square of a+b ie. (a+b) 2 a b a2 ab ab b2 The above diagram represents – a+b is a line and the square are is a 2+b2+2ab Hence proved - (a+b) 2 = a 2+b2+2ab FreshersSite.com
4. 4. Prove (a+b) 2 = a 2+b2+2ab in Algebra (a+b) 2 = (a+b) *(a+b) = (a*a + a*b) + (b *a + b*b) = (a 2+ ab) + (ba + b2) = a 2 + 2ab + b2Hence proved (a+b) 2 = a 2+b2+2ab FreshersSite.com