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How do we prove geometrically a2-b2 = (a-b)(a+b)

Consider the two squares of side a and b units , as shown in figure.

Area of square ABCD=a2Area of square AEFG=b2Area of square ABCD-Area of square AEFG=Area of rectangle EBHF+Area of rectangle CDGHa2-b2=ba-b+aa-ba2-b2=a+ba-bHence Proved.

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(a-b)(a+b) = a2-ab+ab-b2 = a2-b2

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how to verify geometrically (a+b)*(a+b)=a2+b2+2ab

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 how can we geometrically prove that (a+b) 2

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http://books.google.co.in/books?id=7_wIwzd9Qq4C&pg=PA153&lpg=PA153&dq=a2%2Bb2+geometrically&source=bl&ots=YY-yUGzg1F&sig=ochnM-yIBtKgzQ-mUAdPbic-3aU&hl=en&sa=X&ei=mgccUIy_B4fjrAe_tYC4DQ&ved=0CDkQ6AEwAg#v=onepage&q&f=true

Click it and see page 153.

Tell whether it helps.

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go utube and search

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On YouTube you have videos for all
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