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3 years ago

Factor the polynomial x^8-6561

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

x⁸ - 6561 = x⁸- 3⁸ = (x⁴)² - (3⁴)²

= (x⁴ + 3⁴) (x⁴ - 3⁴) {a² - b² = (a+b)(a-b); here a =x⁴ and b= 3⁴ }

= (x⁴ + 3⁴) ( [x²]² - [3²]²) {here a =x² and b = 3²}

= (x⁴ + 3⁴) (x² + 3²) (x²- 3²)

= (x⁴ + 81) (x² + 9) (x + 3) (x-3)

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Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

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Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

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Learn more about Trigonometry: brainly.com/question/27707750

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Topic: Trigonometry

3 0

2 years ago

Find 7512−(−334) . Write your answer as a mixed number in simplest form.

Savatey [412]

Answer:

7846

Step-by-step explanation:

two 'minus' signs cancel each other out and become an 'plus' sign

therefore

7512-(-334) = 7512 + 334

= 7846

I don't know why you wrote ' write your answer as a 'mixed number ' in 'simplest form'. A mixed number can only be formed when you have a fraction, an improper fraction no less, the answer is a whole number, and therefore cannot be written as a mixed number in simplest form. If I am wrong pls let me know and elaborate by what you mean by 'mixed number' in the comments.

I believe it may be a trick question, but who knows.

Examples of fractions expressed as a mixed number.

19/8 = 2 3/8

17/5 = 3 2/5

7 0

2 years ago

After school, Camille had a science club meeting for 1 hour, followed by a choir rehearsal that lasted for 40 minutes. If Camill

Vedmedyk [2.9K]

It would be 3:40 since 1 hour and the 40 minutes add up and the choir is after the meeting

7 0

3 years ago

Read 2 more answers