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2 years ago

What is the factorization of 729x^15 + 1000?

Mathematics

1 answer:

Tcecarenko [31]2 years ago

8 0

Answer:

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

Step-by-step explanation:

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2 years ago

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2 years ago

What is the simplification of (-2x+4) + 2(2x+1)

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2 years ago

A national study reported that 75% of high school graduates pursue a college education immediately after graduation. A private h

Verdich [7]

Answer:

The % students going to higher education is 79.60 % which is higher than the reported value.

Step-by-step explanation:

According to national study report the students going to college for higher education = 75 %

Given that

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% students going to higher education is

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