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Institute for Computational and Experimental Research

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Algebra with Paper cutting (a+b) Square = a square + b square + 2ab |  English | Fun with Maths

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We will use paper cutting to prove the algebraic formula, (a+b)x (a+b) = a square + b square + 2ab We will first take a square and divide its side in 2 parts of length a and b. So the area of this large square is (a+b)x(a+b).

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E. i. (x+2)(x+3)
ii. (x - 5) (x-7 )
iii..(x-5)(x+3 )
iv.  (x+7)(x - 7)
v.   98 x 98

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Question 1: CUBES

In this photograph , you see 6 dice and for all dice there is a rule.

Derive the rule such that the sum on the upper and lower face of each die remains the same and also  state the total of the same.

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Sequence Master - test your memory and sequencing logic.

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1. Simplify the following  using  suitable identities

A. i.   (x+5) (x + 5)
ii.  (y+8)(y+8)

iii. (x+4)^2

iv.  105 x 105

B  i.  (x+9)(x +9)
ii (2x+7)(2x+7)
iii. (5x+2y)^2
iv. 101 x 101

C. i  (x+8)^2
ii. (x+2y)^2
iii. 108 x 108
iv. (2a+3b)^2

D.  i.(x+3)^2
ii. (4x +5y)(4x+5y)
iii. (x+6)^2
iv. 107 x 107