(a+b)^2=a^2+2ab+b^2 But why?

So Lets prove it :
Consider a line 

Take any arbitrary point 

So now we can say that length of line is a+b
Now we have to square a+b
that will be



lets add all the squares and rectangles


This will be  a




Now it is a2+b2






Here there are two rectangle in the above diagram

As we know that Area of rectangle is Length X Width

So it will be a x b

Now lets add every square and rectangle

a2 + b2 + a x b + a x bi.e., a2 + b2 + 2ab

Thus 


(a+b)2=a2 + 2ab+b2 

1 Comments:

Math legend said...

http://freemeridamathtricks.blogspot.com/2014/01/squres-numbers-three-special-pattern.html
If you want any help visit the site

Click Here To add Comment

Post a Comment

Twitter Delicious Facebook Digg Stumbleupon Favorites More

 
Design by | lasantha bandara
Modified by | SUJIT