Math, asked by shivkumartiwari13049, 18 days ago

(a²+2ab+b²)= please help me ​

Answers

Answered by gameragarwalbhai
0

Step-by-step explanation:

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Answered by SuperSpear
1

Step-by-step explanation:

First, let us consider a Square with length a. What is the area of the square? So simple, it is a².

Now, we increase the length of its side by b. Now, the new length will be

a + b. The new square will look like …

You can see that, we can divide the new square into 4 shapes

A square with length a which has an area of a².

2 Rectangles with length a and breadth b which has an area of ab each.

A square with length b which has an area of b².

So the area of the new square with length a + b will be

(a + b)² = (Area of the Square with length a) + (2 X Area of the Rectangle with length a and breadth b) + (Area of the Square with length b)

which can be written as

(a + b)² = a² + 2ab + b²

Hence Proved

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