Question

(x + y)² = x² + 2xy + y² using area of rectangle draw figures
​

Answer 1

Step-by-step explanation:

Step 1: Draw a line with a point which divides x,y

Step 2: Total distance of this line =x+y

Step 3: Now we have to find out the square of x+y i.e., Area of square = (x+y)

2

Step 4: From the diagram, inside square red and yellow be written as x

2

,y

2

Step 5: The remaining corner side will be calculated as rectangular side = length × breadth = x×y

Therefore, Area of the big square = Sum of the inside square +2 times the corner rectangular side

(x+y)

2

=x

2

+y

2

+2xy

Hence, geometrically we proved the identity (x+y)

2

=x

2

+y

2

+2xy.

Answer 2

Answer:

( x + y ) ^2 = x ^ 2 + 2.x.y + y ^ 2

Geometrically proved

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