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Mariana [72]
3 years ago
9

Factor the expression: x^6-729. Show your work Please.

Mathematics
1 answer:
Brut [27]3 years ago
7 0

Answer:

  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

Step-by-step explanation:

<u><em>Use of formulas:</em></u>

  • <em>a^2 - b^2 = (a + b)(a -b)</em>
  • <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
  • <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>

<u>Given the expression: </u>

  • x^6-729

<u>Factoring 729</u>

  • 729 = 3*3*3*3*3*3 = 3^6

<u>Factoring the expression </u>

  • x^6 - 3^6 =
  • (x^3)^2 - (3^3)^2 =
  • (x^3 + 3^3)(x^3 - 3^3) =
  • (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
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About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal compu
Aleks04 [339]
This can be solved using a ratio. The ratio is: 13/20=x/60 this would then become 20x= 780  divide both sides by 20 and you get x=39. the answer is 39
5 0
3 years ago
Read 2 more answers
I need help with both
uranmaximum [27]

Answer:

Part 1: 114,570,685 people

Part 2: The population grew by 2.5% (1,722,862 people)

Step-by-step explanation:  For part 1 you would multiply 100,236,820 by 1.143 because of the fact that your percentage is increasing.  so the 1 before the decimal point stands for 100% of the starting number and the .143 stands for the 14.3% that the population is increasing by.  


Part 2 you would divide 53,594,378 by 55,317,240 to get approximately .975.  .975 shows that 53,594,378 is about 97.5% of 55,317,240.  You then subtract the numbers 100 and 97.5 to get 2.5.  2.5 is the percentage that the population is increasing by.  So, then you could just subtract 55,317,240 and 53,594,378 to get 1,722,862.  This is the amount of people the population increased by.  Then you just put your answer that the population increased.  That it increased by 2.5% and 2.5%= 1,722,862 people

I hope this helps you :)

7 0
3 years ago
12+[ 9 4/5 - ( 1.5 + 2 2/10)]<br><br><br><br>Someone please help me?​
lord [1]

Answer:

18.1

<em>The thing You NEEDED to do</em>

<h3><u>Simplify</u> or <u>Evaluate</u> Your Answer</h3>
5 0
3 years ago
If you know how to do this pls help thankyou!
dmitriy555 [2]

Answer : 49

I hope you understand sorry for the ugly writing

4 0
3 years ago
7/8 = /48 <br> A. 1 <br> B. 6 <br> C. 42 <br> D. 13
Vsevolod [243]
7/8 = x/48

Cross multiply, which is: a/b = c/d ⇒ ad = bc

After cross multiplying, we get:

8x = 7(48)

8x = 336

Divide 8 on both sides

x = 42


Your final answer is B. 42<span>.</span>
6 0
3 years ago
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