15x^2 / 15x+10 simpfly each and exclude the values
I have a strong feeling you meant to say
15x^2/(15x+10)
= 15x^2/(5(3x+2))
= 3x^2/(3x+2) , x ≠ -2/3
To simplify the expression (15x^2) / (15x+10) and exclude certain values, we can follow the steps below:
Step 1: Factor out the greatest common factor (GCF) from both the numerator and the denominator.
Since both terms in the numerator and denominator have a common factor of 15, we can factor it out:
(15x^2) / (15x+10) = (15 * x * x) / (15 * x + 10)
Step 2: Simplify the expression by canceling out the common factors.
By canceling out the common factors (15), we can simplify the expression further:
(15 * x * x) / (15 * x + 10) = (x * x) / (x + 2)
Step 3: Exclude the values by considering the domain.
To exclude certain values, we need to identify any values of x that would make the expression undefined. In this case, we need to check if the denominator (x + 2) becomes zero, which would make the expression undefined.
Setting the denominator to zero:
x + 2 = 0
Solving for x, we find x = -2.
Therefore, for the simplified expression (x * x) / (x + 2), we need to exclude the value x = -2 to avoid dividing by zero.