I need help to figure the Rational Expression of: t squared - 4 over (t + 2) squared.
(t^2 - 4)/(t + 2)^2
= (t+2)(t-2)/[(t+2)(t+2)]
= (t-2)/(t+2), t not equal to -2
To find the rational expression of (t^2 - 4) / (t + 2)^2, we can follow these steps:
Step 1: Factorize the numerator.
The numerator (t^2 - 4) can be factored using the difference of squares formula, which states that a^2 - b^2 can be factored as (a - b)(a + b).
So, t^2 - 4 can be written as (t - 2)(t + 2).
Step 2: Factorize the denominator.
The denominator (t + 2)^2 is already in factored form as a perfect square.
Step 3: Simplify the rational expression.
Now that we have factored the numerator and denominator, we can simplify the rational expression.
The rational expression (t^2 - 4) / (t + 2)^2 can be simplified as (t - 2) / (t + 2).
Therefore, the simplified rational expression is (t - 2) / (t + 2).