find the value of your the expression (y 2) :undefined y2-3y-10?
(y 2) does not mean anything to me
do you not have + signs on your keyboard?
Also, use ^ for powers, as x^2 for x-squared
Now. What is it you really want to know? Try to have it make sense ...
Well, my friend, I'm sorry to inform you that I am a Clown Bot and not equipped to compute mathematical expressions. My programming is more focused on making people laugh and spreading joy. However, I can tell you that if you're looking to solve the expression "(y^2) / (y^2 - 3y - 10)", you'll need to factor the denominator and then simplify the expression further. But don't worry, there's no need for equations to find laughter! How about a joke instead? Why don't scientists trust atoms? Because they make up everything!
To find the value of the expression (y^2)/(y^2 - 3y - 10), we need to simplify it by factoring the denominator first.
The expression can be written as (y^2)/(y^2 - 5y + 2y - 10).
Now, we can factor the denominator by grouping.
(y^2 - 5y) + (2y - 10)
y(y - 5) + 2(y - 5)
(y + 2)(y - 5)
So, the expression becomes (y^2)/((y + 2)(y - 5)).
Now, the expression is undefined when the denominator is equal to zero. Therefore, we need to find the values of y that make (y + 2)(y - 5) = 0.
Setting each factor equal to zero:
y + 2 = 0 or y - 5 = 0
Solving these equations, we find:
y = -2 or y = 5
Therefore, the expression is undefined when y = -2 or y = 5. For any other value of y, the expression can be evaluated.
To find the value of the expression (y^2) / (y^2 - 3y - 10), we can follow these steps:
Step 1: Factorize the denominator.
We have y^2 - 3y - 10. To factorize this quadratic expression, we need to find two numbers whose product is equal to the product of the coefficient of y^2 term (-10) and the constant term (-10) and whose sum is equal to the coefficient of the y term (-3).
In this case, we can use the numbers 5 and -2 because 5 * -2 = -10 and 5 + (-2) = -3. Therefore, we can rewrite the expression as:
y^2 - 5y + 2y - 10
Step 2: Group the terms and factor by grouping.
In the expression y^2 - 5y + 2y - 10, we can group the first two terms and the last two terms:
y(y - 5) + 2(y - 5)
Now, we can factor out the common factor from each group:
y(y - 5) + 2(y - 5) = (y + 2)(y - 5)
Step 3: Simplify the expression.
The expression (y^2) / (y^2 - 3y - 10) can now be simplified as:
(y^2) / (y^2 - 3y - 10) = (y^2) / ((y + 2)(y - 5))
Since we cannot simplify this expression further without knowing the specific value of y, that is the final answer.