By using exponent properties, we will get the simplified expression:
<h3>How to simplify the given expression?</h3>
Here we have the expression:
Remember the exponent properties:
And:
So using these two properties, we can rewrite:
So we conclude that the completely simplified expression is:
If you want to learn more about exponents:
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Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).
So, the area of this rectangle is
The area of the square is , and we know that the two areas are the same, so we have
The solution s=0 would lead to the extreme case where the rectangle and the square are actually a point, so we accept the solution s=3.