smendoza1272 smendoza1272
  • 24-05-2018
  • Mathematics
contestada

Which polynomial identity will prove that 19 = 27 − 8?

Respuesta :

christinabock1 christinabock1
  • 25-05-2018
The answer is Difference of Cubes.

Difference of cubes is a³ - b³.
27 can be written as 3³ (= 3 × 3 × 3 = 27). So, a = 3.
8 can be written as 2³ (= 2 × 2 × 2 = 8). So, b = 2.

Difference of cubes can be expressed as:
       a³ - b³ = (a - b)(a² + ab + b²)
⇒   3³ - 2³ = (3 - 2)(3² + 3×2 + 2²) = 1 × (9 + 6 + 4) = 1 × 19 = 19
⇒  27 -  8  = 19


Answer Link

Otras preguntas

What is the correct answer?
hat is the solution to the compound inequality 5x + 7 > −8 and 3x + 7 ≤ 19?
Which rhetorical device does Judge Hand use in this passage from the speech "The Spirit of Liberty"? "...the spirit of liberty is the spirit of him who, near tw
An______cannot be taken literally and must be understood as a whole
How did Patch specifically make a difference and touch people's lives?
Which sentence describes a key aspect of ancient poems? A. They are meant to be read silently. B. They abandon structure. C. They tell stories in rhythms that w
the country that attracted the most international tourists in 2010 was
How did the red scare prompted the formation of the american civil liberties union (aclu)?
“The Armenian Language is the Home of the Armenian” seeks to A) inform B) criticize C) persuade D)satirize
True or False? After World War I, the United States joined the League of Nations.