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

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olga2289 [7]

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2 years ago

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3^2+100(-3x+209)66^2+11+34= ?

mel-nik [20]

Answer:

I think its −1306800x+91040454

Step-by-step explanation:

Let's simplify step-by-step.

32+100(−3x+209)(662)+11+34

Distribute:

=32+−1306800x+91040400+11+34

=9+−1306800x+91040400+11+34

Combine Like Terms:

=9+−1306800x+91040400+11+34

=(−1306800x)+(9+91040400+11+34)

=−1306800x+91040454

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