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fgiga [73]
2 years ago
11

Factorize that x^4+4y^4​

Mathematics
1 answer:
ipn [44]2 years ago
4 0

Answer:

  • (x² + 2y² + 2xy)(x² + 2y² - 2xy)

Step-by-step explanation:

<h3>Given binomial:</h3>

x⁴ + 4y⁴

In order to factorize it, follow the steps:

<h3>Complete the square:</h3>

  • x⁴ + 4y⁴ =
  • (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
  • (x² + 2y²)² - (2xy)² =
  • (x² + 2y² + 2xy)(x² + 2y² - 2xy)

Used identities:

  • (a + b)² = a² + 2ab + b²
  • a² - b² = (a + b)(a - b)
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vampirchik [111]
1:500000
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2:250000
2cm:250000cm
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To get this you convert the km into cm as it is easier and then it becomes something like this 2cm : 250000cm
then divide or half to get to the simpler form like this 2cm divided by 2=1cm and 250000cm divided by 2= 125000cm 
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6 0
3 years ago
What is <br> r squared+7r+6=0
Firlakuza [10]

Answer:

r = -6, -1

Step-by-step explanation:

r^2 + 7r+6 =0

Factor

What 2 numbers multiply to 6 and add to 7

6*1 =6

6+1 =7

(r+6) (r+1) =0

Using the zero product property

r+6 =0        r+1 =0

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7 0
3 years ago
An artist is trying to choose 5 covers for children’s books. There are 10 different covers to choose from. How many ways can the
Aleksandr [31]

Answer:

252

Step-by-step explanation:

The order of the books isn't important, so we'll use combinations.

The number of ways to choose 5 books from 10 is:

₁₀C₅ = 10! / (5! (10 − 5)!)

₁₀C₅ = 10! / (5! 5!)

₁₀C₅ = 10×9×8×7×6 / (5×4×3×2×1)

₁₀C₅ = 252

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3 years ago
All the names that apply to the number -1.5
Blababa [14]
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Answer:

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Step-by-step explanation:

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2.) y-1=x+9

3.) y=x+10

8 0
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