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11Alexandr11 [23.1K]
3 years ago
6

How can i factor this? x^(2n)-2x^(n)+1

Mathematics
1 answer:
Tasya [4]3 years ago
7 0
You can make it easier by replacing x^n with another variable, factoring, then putting x^n back in the end.

Using exponent and algebra rules, rewrite x^2n - 2x^n + 1 as
(x^n)^2 - (2 x x^2) + 1

Then, let x^n = m.

m^2 - 2m + 1

Now factor that: (m - 1)^2

And now put x^n back: (x^n - 1)^2
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9. Find the length of x in the right triangle. Give your answer to two decimal places.
NeX [460]

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

base²+altitude² = hypotenuse²

x² + 14² = 40²

x² + 196 = 1600

     x² = 1600 - 196

    x² = 1404

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x = 37.47 ft

4 0
2 years ago
Answer for<br> -4 (-x + 2) = 2 (3x - 7)
Lana71 [14]

Step-by-step explanation:

-4 (-x + 2) = 2 (3x - 7)

2x-4=3x-7

x=3

5 0
3 years ago
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Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1? On a coordinate plane, a vertical dashed line at (n
Deffense [45]

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis ⇒ 2nd answer

Step-by-step explanation:

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where

  • (h , k) are the coordinates of its vertex point
  • The axis of symmetry of it is a vertical line passes through (h , 0)
  • The minimum value of the function is y = k at x = h

∵ f(x) = a(x - h)² + k

∵ f(x) = (x - 2)² + 1

∴ a = 1 , h = 2 , k = 1

∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)

∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)

∵ Any vertical line is parallel to y-axis

∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and

   passes through (2 , 0)

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis

   

Learn more:

You can learn more about quadratic function in brainly.com/question/9390381

#LearnwithBrainly

6 0
3 years ago
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Write 12/15 in the simplest form
victus00 [196]
<span><span>If you would like to know what is 12/15 in the simplest form, you can calculate this using the following step:</span><span>

12/15<span> simplifies to 4/5 (the common factor of 12 and 15 is 3, so you can divide both numbers by 3).</span>

<span>The result is 4/5.</span></span></span>
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Answer:

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Step-by-step explanation:

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