Simplify this expression
x ^2 - 64 / x + 8
_______ ______
x ^2 -25 / x - 5
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hint:
you have an obvious "difference of squares" in both of the numerators
Oops sorry, don't know why i put that in the topic.
Would it be this?
x + 8
______
x - 5
Not quite. It's (x-8)/(x+5)
That my birthday
Literally the day I was born
To simplify the given expression:
1. Start by factoring the numerator and the denominator separately.
For the numerator, you have x^2 - 64, which is a difference of squares. This can be factored as (x + 8)(x - 8).
For the denominator, you have x^2 - 25, which is also a difference of squares. This can be factored as (x + 5)(x - 5).
2. Now substitute the factored forms of the numerator and the denominator back into the expression.
(x + 8)(x - 8) / (x + 5)(x - 5)
3. Check if there are any common factors that can be canceled out. In this case, there are no common factors.
4. Simplify the expression further if possible. In this case, the expression is already in its simplest form.
Therefore, the simplified expression is (x + 8)(x - 8) / (x + 5)(x - 5).
Note: It's important to show your work as you simplify the expression. This helps with understanding the steps and preventing errors.