homtjapa17 homtjapa17
  • 09-05-2020
  • Mathematics
contestada

factorise 125x^3 -27y^3

Respuesta :

jimrgrant1 jimrgrant1
  • 09-05-2020

Answer:

(5x - 3y)(25x² +15xy + 9y²)

Step-by-step explanation:

125x³ - 27y³ is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

Given

125x³ - 27y³

= (5x)³ - (3y)³

= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)

= (5x - 3y)(25x² + 15xy + 9y²)

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