PLEASE HELP!
Okay I'm DESPERATE.
Can somebody please tell me what
n^3-64 divided by n-4 is?
And for x/x+2 - 4/x-2 - 1
is the answer 2(-3x+2)/(x-2)(x+2
n^3-64 is a difference of cubes: you should have an equation to factor it.
http://www.purplemath.com/modules/specfact2.htm
No, on the second one.
The common denominator is (x-2)(x+2) so
x(x-2) -4(x+2) -(x-2)(x+2) all that over the common denominator
First, u have to say what 'n' represents, then only u can figure out the equation....
To solve the first question:
In order to simplify the expression (n^3-64) divided by (n-4), you can use the concept of factoring a difference of cubes. The formula for factoring a difference of cubes is a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Applying this formula to the given expression, (n^3-64), the cube root of n^3 is n, and the cube root of 64 is 4. So, we can rewrite the expression as (n - 4)(n^2 + 4n + 16).
Therefore, the simplified expression is (n^3 - 64)/(n - 4) = (n - 4)(n^2 + 4n + 16).
For the second question:
To simplify the expression (x/x+2) - (4/x-2) - 1, you need to find a common denominator for all the terms. In this case, the common denominator is (x - 2)(x + 2).
Now, let's simplify each term:
- For the first term, x/x+2, the denominator is already (x + 2), so we don't need to make any changes.
- For the second term, 4/x-2, you need to multiply both the numerator and denominator by (x + 2) to get a common denominator of (x - 2)(x + 2). This gives us (4(x + 2))/((x - 2)(x + 2)).
- For the third term, 1, we can rewrite it as (1 * (x - 2)(x + 2))/((x - 2)(x + 2)).
Now, we can combine all the terms:
(x/x+2) - (4/x-2) - 1 = (x/(x + 2)) - (4(x + 2))/((x - 2)(x + 2)) - (1 * (x - 2)(x + 2))/((x - 2)(x + 2)).
To simplify further, we can combine the numerators and write a common denominator:
= (x - 4(x + 2) - (x - 2)(x + 2))/((x - 2)(x + 2)).
Expanding and simplifying the numerator:
= (x - 4x - 8 - x^2 + 4 - 2x)/((x - 2)(x + 2)).
= (-2x - x^2 - 4)/((x - 2)(x + 2)).
= -x^2 - 2x - 4/((x - 2)(x + 2)).
So, the simplified expression is (-x^2 - 2x - 4)/((x - 2)(x + 2)).