cassandra4t cassandra4t
  • 21-08-2020
  • Mathematics
contestada

Factor this problem ?
125 +27y^3

Respuesta :

jimrgrant1 jimrgrant1
  • 21-08-2020

Answer:

(5 + 3y)(25 - 15y + 9y²)

Step-by-step explanation:

This is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

125 + 27y³

= 5³ + (3y)³ with a = 5 and b = 3y

= (5 + 3y)(5² - 5(3y) + (3y)² )

= (5 + 3y)(25 - 15y + 9y²)

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