What is the factorization of 729x15+1000?

1 answer:

8 0

729x¹⁵ + 1000

This is a case of a sum of cubes.

729 is the cube of 9
1000 is the cube of 10
x¹⁵ is the cube of x⁵

A sum of perfect cubes can be factored into
(a + b) (a² - ab + b²)

(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)

(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION

9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)
729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000
729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000
729x¹⁵ + 1000

You might be interested in

What is 456+1290????

Arisa [49]

Answer:

1846

Step-by-step explanation:

1290+456

3 0

3 years ago

Read 2 more answers

Find the area. Please help

Nutka1998 [239]

The answer to your question is 77 because the formula for area for a triangle is A=1/2BH and the base is 11 feet and the height is 14 feet. So, (14•11)/2 is 77. Therefore, 77 squared feet is the answer.

6 0

3 years ago

Plz help ill give u brainlist

Fed [463]

Angle 1 is a right angle =90 °
so 5x-85=90
5x=90+85
5x=175
x=35

8 0

3 years ago

-x-1=5 can somebody answer this fo me THX :)

Nitella [24]

Answer: -6

Step-by-step explanation:

-x-1=5

-x=5+1

-x=6

divide both sides by -1

x=-6

8 0

3 years ago

Read 2 more answers

Isabella's dance classes 45 minutes long 20% of the time is spent stretching how many minutes does Isabella's spend stretching

Alina [70]

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 45}}{\left( \cfrac{20}{100} \right)45}\implies 9$

4 0

3 years ago