* I don't get this problem at all...
4(x+2) 6x^2
------ * ----
5x 2x
what are the directions?
in the denominator, you have 10x^2
in the numerator, you have 24x^2(x+2)
the x^2 divides out, and the numbers can be reduced.
that would be (12(x+2))/(5)
the directions say:
Multiply or divide the rational expressions below.Remember to simplify.
To solve this problem, you need to multiply or divide the rational expressions.
First, let's simplify each expression individually:
In the denominator, you have 10x^2.
In the numerator, you have 24x^2(x+2).
To simplify the numerator further, multiply 24x^2 by (x+2) to get 24x^3 + 48x^2.
Now, you can rewrite the expression as (24x^3 + 48x^2) / (10x^2).
Since both the numerator and denominator have a common factor of x^2, you can divide both terms by x^2, which results in:
(24x^3 + 48x^2) / (10x^2) = (24x + 48) / 10
Finally, you can simplify the expression by dividing both the numerator and denominator by their greatest common divisor, which is 8:
(24x + 48) / 10 = (3x + 6) / 5
Therefore, the simplified expression is (3x + 6) / 5.
Remember to always simplify as much as possible when multiplying or dividing rational expressions.