How do you add or subtract #(y^2-5)/(y^4-81) + 4/(81-y^4)#?
We can rewrite this sum as
Using the l.c.d.:
That can be your final answer, but let's draw attention to the fact we have factorable functions there.
Now, as for the denominator:
Let's just go slowly here and take the square root of both sides.
Therefore, your "final" answer can be rewritten as
By signing up, you agree to our Terms of Service and Privacy Policy
To add or subtract the given expressions, we need to find a common denominator. In this case, the common denominator is (y^4 - 81).
To add the fractions, we multiply the numerator and denominator of the first fraction by (81 - y^4), and the numerator and denominator of the second fraction by (y^4 - 81).
This gives us:
[(y^2 - 5)(81 - y^4)] / [(y^4 - 81)(81 - y^4)] + [4(y^4 - 81)] / [(y^4 - 81)(81 - y^4)]
Simplifying the numerators, we have:
[(81y^2 - 405 - 81y^4 + 5y^2)] / [(y^4 - 81)(81 - y^4)] + [4y^4 - 324] / [(y^4 - 81)(81 - y^4)]
Combining like terms in the numerators, we get:
[(86y^2 - 81y^4 - 405)] / [(y^4 - 81)(81 - y^4)] + [4y^4 - 324] / [(y^4 - 81)(81 - y^4)]
Now, we can combine the fractions by adding the numerators:
[(86y^2 - 81y^4 - 405 + 4y^4 - 324)] / [(y^4 - 81)(81 - y^4)]
Simplifying the numerator further:
[(86y^2 - 77y^4 - 729)] / [(y^4 - 81)(81 - y^4)]
Therefore, the simplified expression is:
(86y^2 - 77y^4 - 729) / (y^4 - 81)(81 - y^4)
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7