csitsit
csitsit csitsit
  • 25-10-2014
  • Mathematics
contestada

factor the polynomial 
64x^3-125

Respuesta :

rabinshrestha41
rabinshrestha41 rabinshrestha41
  • 25-10-2014
[tex]64 x^{3} -125[/tex]

= [tex](4x)^{3} - 5^{3} [/tex] ------> because, [tex](4x)^{3}[/tex] is same as 64x³ and 
                                                [tex]5^{3} [/tex] is same as 125

Using the formula: [tex] a^{3}- b^{3} =(a-b)(a ^{2} +ab+b ^{2} )[/tex], we get, 

= [tex](4x -5)((4x)^{2} +4x*5+ 5^{2} )[/tex]

= [tex](4x -5)(16 x^{2} +20x+25)[/tex]   ------>that's your answer!!
Answer Link

Otras preguntas

what is 2.915 rounded to the nearest tenth and to the nearest one?
what is equivalent to 4/21
What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to two decimal places if needed. A. 1570 mm3 B.
Which is not an accurate description of William Shakespeare? A. He wrote plays about history and romance, as well as other topics. B. He is genera
why i it unhealthy in sustaining positive relationships by confrontation
which graph is a correct representation of the function f(x)=3
A sequence is: a) an arrangement of quantities whose positions are based upon the natural numbers b) any list of numbers c) a summation of quantities whose pos
What is the function of cell wall?
System of government in which officials are chosen by the people
A pre-image segment with endpoints (1, -3) and (2, 2) is dilated to the image segment with endpoints (2, -6) and (4, 4). What is the scale factor for the dilati