ElaNeedsABuff ElaNeedsABuff
  • 01-11-2018
  • Mathematics
contestada

factor completely 512x^3+2197y^3

Respuesta :

Ammimochi
Ammimochi Ammimochi
  • 01-11-2018

Rewrite 512x^3 as (8x)^3

(8x)^3 + 2197y^3

Rewrite 2197y^3 as (13y)^3

(8x)^3 + (13y)^3

Since both terms are perfect cubes, factor using the sum of cubes formula.

a^3 + b^3 = (a + b)(a^2 - ab + b^2) where a = 8x and b = 13y.

(8x + 13y)((8x)^2 - (8x)(13y) + (13y)^2)

Simplify

(8x + 13y)(64x^2 - 104xy + 169y^2)

Answer Link

Otras preguntas

Solve for the equation for x 3x+y/=2
Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece
What is a cycle graph?
Which of the following was NOT a problem for farmers? Steam powered machines were expensive Farmers had to pay high rates to ship their product. ooo Farmers got
Juan Ana Silvia Carlos Pilar Marcos Claudio Marta Rebeca César 1. Ana es de Claudio, Marta, Rebeca y César. de Carlos. 2. Silvia es 3. César es de Silvia y de C
what the answer through
Based on the graph above, which percentage of the US population held most of the country's wealth between 1983 and 2004?
What kind of irony is "The competitors for this office sought as diligently to please overseers, as the office seekers in the political parties seek to please a
which argument best explains the charge of an atomic nucleus
Examine the physical map of Latin America. Which physical feature is located at A? Atacama Desert Guiana Highlands Yucatan Peninsula Isthmus of Panama Patie Dec