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# Visual proof

After looking at visual justifications for properties of additon for whole numbers and fractions, this poster considers the properties of multiplication for the same number sets.

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- Read more about Geometric Proof of a Trigonometric Identity
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Visual Proof of the two variable AM-GM inequality

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Here is an elegant visual proof of the Pythagorean Theorem (check the links 1, 2, 3 ) developed by the 12th century Indian mathematician

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Here are the remaining 3 proofs of algebraic identities

**(a + b)(a - b) = (a ^{2} - b^{2})**

**(a + b) ^{2} + (a - b)^{2} = 2(a^{2} + b^{2})**

**(a + b) ^{2} - (a - b)^{2} = 4ab **by using algebra tiles.

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See the visual proof of (a - b)^{2} +2ab using coloured tiles,

You may download the attached ppt & pdf.

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See the visual proof of (a+b)^{2} - 2ab using coloured tiles,

You may download the attached ppt & pdf.

Click here for (a - b)^{2} + 2ab proof

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Swati Sircar invites you to explore the cubic identities (a - b)^{3} through 3D models.

A downloadable ppt is attached below.

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- Read more about On Proofs Without Words
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