Question

Verify the identity ( a +b + c)^2 geomentrically . write the steps in 70 to 80 words

Answer 1

Answer:

ANSWER

Step 1: Draw a square and cut into 3 parts.

Step 2: There are 1 hided square green and 2 rectangles (pink, blue)

Step 3: Area of the full square = a

2

−b

2

Step 4: Now we have to find the area of rectangle as shown in the figure.

Step 5: Consider the area of pink rectangle = length × breadth = a(a−b)

Step 6: Area of blue rectangle = b(a−b)

Step 7: Area of full square = area of pink rectangle + area of blue rectangle.

i.e., a

2

−b

2

=a(a−b)+b(a−b)

a

2

−b

2

=(a+b)(a−b)

Hence, geometrically we proved the identity a

2

−b

2

=(a+b)(a−b).

Step-by-step explanation:

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