25-x^2 6x^2
------ * ------
12 2x
*I got:
5-x/2
No. Try again.
Can you tell me what I did wrong please.?
You have to factor the numerator, you should have two factors for the first, and one for the second.
In the denominator, you will have 24 x.
I think the x divides out, and the numbers reduce.
To simplify the expression (25 - x^2)/(12) * (6x^2)/(2x), let's break down the factors and simplify them individually.
First, let's factor the numerator of the first fraction, (25 - x^2). Notice that it is a difference of squares. The difference of squares formula states that a^2 - b^2 can be factored into (a + b)(a - b). Applying this formula, we can rewrite the numerator as (5 + x)(5 - x).
Now let's move on to the numerator of the second fraction, (6x^2). There are no common factors that can be simplified here, so we leave it as it is.
Next, let's simplify the denominator, which is (12) and (2x). We can see that 12 = 2 * 2 * 3, and 2x can be written as 2 * x. Now we can cancel out the common factors of 2 between the numerator and the denominator.
After factoring and canceling out the common factors, the expression simplifies to [(5 + x)(5 - x)] / (3x).
Therefore, the correct simplified expression is (5 + x)(5 - x) / (3x).