Write a polynomial that represents the area of the square.

The polynomial that represents the area of the square

Let the side of square be "b"

so the area of square is written as

So according to the given figure

Length of one side in the given equation = 4+ x

According to the identity

On solving further according to the identity formulated in equation (1)  we get

So, The polynomial that represents the area of the square

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Step-by-step explanation:

It is important to remember that the formula for calculate the area of a square is:

Where "s" is the side lenght of the square.

From the figure you can identify that the side lenght of the square can be represented with this expression:

Therefore, the following expression represents the area of the square:

In order to simplify it, you need to remember that:

Then, you get that the polynomial that represents the area of the given square, is: