Given:
Sum of interior angle
To find:
Number of sides of a polygon
Solution:
Using sum of interior angles formula:
where "S" is the sum of interior angels and "n" is the number of sides of a polygon.
Divide by 180° on both sides.
Cancel common factor 180°.
Add 2 on both sides.
Switch the sides.
Therefore number of sides of a polygon is .
Given the polynomial expression:
(y + 5)²
(y - 5)(y + 5)
Let's simplify each of the given expression:
a.) (y + 5)²
The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.
We get,
b.) (y - 5)(y + 5)
To be able to simplify the following expression. We will be using the formula for the difference of two squares.
We get,
