How do you factor #a^6 + 1#?
We can modify the expression to use the Sum of Cubes formula to factorise it.
By signing up, you agree to our Terms of Service and Privacy Policy
To factor (a^6 + 1), you can use the difference of squares formula, which states that (a^2 - b^2) can be factored as ((a - b)(a + b)). In this case, (a^6 + 1) can be rewritten as ((a^2)^3 + 1^3). Applying the difference of cubes formula, we have ((a^2 + 1)((a^2)^2 - a^2 + 1)). Further simplification yields ((a^2 + 1)(a^4 - a^2 + 1)). Therefore, (a^6 + 1) factors into ((a^2 + 1)(a^4 - a^2 + 1)).
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