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almond37 [142]
3 years ago
11

Factor completely. n ^4 - 1

Mathematics
2 answers:
inna [77]3 years ago
8 0
(n^4 - 1) = (n^2 - 1) (n^2 +1) = (n - 1) (n + 1) (n^2 + 1)
IgorC [24]3 years ago
4 0

Answer: Hello there!

here we have the equation n^4 - 1

using the relation: (a^{2} - b^{2}) = (a+b)*(a-b)

we can write our equation as:

(n^{4} - 1) = ((n^{2} )^{2} -1^{2} ) = (n^{2} + 1)(n^{2} - 1) = (n^{2} + 1)(n + 1)(n-1)

and (n^2 + 1) has only complex roots, i and - i, then we can factorize this as (n -i)(n + i) = n*n + ni - ni (+i)*(-i) = (n^2 + 1)

then our equation is: (n^{2} + 1)(n + 1)(n-1) =  (n + i)(n - i)(n + 1)(n-1)

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Answer:

Step-by-step explanation:

5 red

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10 white

altogether the is 30 marbles so that means it is 'out of'  30

and because the is 5 red it would be 5/30

and because the is 10 white it would be 10/30

that should be the answer but if you have to work the total all together then it would be 15/30

hope this helps :)

6 0
3 years ago
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crimeas [40]

Answer:

<u>The correct answer is 58 cars.</u>

Step-by-step explanation:

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Cars brought into the junkyard by the truck = 58

<u>The number of cars brought by the truck is 58 cars.</u>

5 0
3 years ago
Help me, please<br> Which statement is true about the following pair of rectangles?
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C

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5 0
2 years ago
Which option is the correct option, quick please!
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Answer:

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Option A is the correct option

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Hope this helps..

Best regards!!

4 0
3 years ago
Read 2 more answers
What TWO steps do you take to solve the following equation: 5x - 3 = 12
hichkok12 [17]

Answer:

First add 3 to each side

Then divide each side by 5

Step-by-step explanation:

5x - 3 = 12

First add 3 to each side

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Then divide each side by 5

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4 0
3 years ago
Read 2 more answers
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