To simplify the given expression, let's first work on the numerator and denominator separately.
Numerator: 132(x + 5) - 132(x - 5)
Using the distributive property, we can expand: 132x + 660 - 132x + 660
Simplifying further, we can combine like terms: 132x - 132x + 660 + 660
This gives us: 1320
Denominator: (x - 5)(x + 5)
Using the difference of squares formula, we can see that this expression simplifies to: (x^2 - 5^2)
And further, we can simplify as: (x^2 - 25)
Putting it all together: 1320 / (x^2 - 25)
Now let's simplify the right side of the equation:
5(x - 5)(x + 5) / (x - 5)(x + 5)
Here, we can see that the numerator and denominator are the same, so they cancel out:
5 / 1
Therefore, the simplified equation is: 1320 / (x^2 - 25) = 5
Or, alternatively: 1320 = 5(x^2 - 25)
