N^4 - 1 = (n^2 - 1)(n^2 + 1)
= (n + 1)(n - 1)(n^2 + 1)
Answer:

Step-by-step explanation:
Given the rational expression:
, to express this in simplified form, we would need to apply the concept of partial fraction.
Step 1: factorise the denominator





Thus, we now have: 
Step 2: Apply the concept of Partial Fraction
Let,
= 
Multiply both sides by (x - 1)(x - 4)
= 

Step 3:
Substituting x = 4 in 





Substituting x = 1 in 





Step 4: Plug in the values of A and B into the original equation in step 2


Notice below the picture
the one on the left-hand-side, is the 30-60-90 rule
those are the ratios, for 16), the hypotenuse (slanted side), is 4
for the ratios, that means that 4 = 2x, if you solve that for "x", that simply means "x" is 2
now, just use that value you found for "x" from the hypotenuse ratio, and use it to get the other two sides
what's the perimeter? all three sides added together
for 17)
Answer:
The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third
Step-by-step explanation:
The student was wrong in his evaluation because the correct result should be 1 1/3 (one and one-third) and not 16 and one-third
The expression '1/3 more than the product of four and a number' means
(4g + 1/3)
Evaluating the expression when g = 1/4
You will have
4×1/4 + 1/3
= 1/1 + 1/3
Find the LCM of 1 and 3 and add
= (3+1)/3
=4/3
= 1 1/3
The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third
This system can be a bit tricky unless you write it out:
(2n + 2)(2n - 2) ~ First you have to take one variable and multiply it to each of the other two variables, like:
2n * 2n ~ And:
2n * -2 ~ This gives you:
4n^2 - 4n
Now we do this with the other:
2 * 2n
2 * -2
4n - 4
Now we combine them both while adding like terms:
4n^2 - 4
Therefore your answer is: A. 4n^2 - 4
(This is due to how when having the positive 4n subtracted by the negative it cancels it out. Leaving us with the remaining two terms left.)
I hope this helps, have a great rest of your day! ^ ^
~Ghostgate