Question

Geometrical verification of
1. (a + b)^2
2. (a - b )^2
3. a^2 - b^2
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Answer 1

Answer:

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Answer 2

Answer:

• Geometrical verification of

(a +b)^2 :-

(a +b)^2 = a^2 + b^2 + ab + ab

(a + b)^2 = a^2 + b^2 + 2ab

• Geometrical verification of

(a - b)^2 :-

Area of whole square with side 'a' - Area of figure II - Area of figure III - Area of figure IV

(a - b)^2 = a^2 - b(a - b) - b(a - b) - b^2

(a - b)^2 = a^2 - ab + b^2 - ab + b^2 - b^2

(a - b)^2 = a^2 + b^2 - 2ab

• Geometrical verification of

a^2 - b^2 :-

a^2 - b^2 = a( a - b) - b( a - b)

a^2 - b^2 = (a + b) (a - b)