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)

Answer Link

Otras preguntas

What effect did Alexander’s actions most likely have on Indian civilization
why is this the answer?
Find the least common multiple for 6(x+1)^3(x-4)^2 and 10(x+1)^8(x-4)^5
The the s t r i t o n family had a meal catered for a wedding rehearsal dinner the cost of the dinner was $476 they're real 5% sales tax and they were left a 15
What significantly damaged the washington monument in 2011?
please help. 1. if you’re walking down decimal Avenue and you turn left going west on multiplication Street what angle degree would you be making explain 2.Th
The stressor that cuases the most stress is: A. Waiting in a long line B. The death of a grandparent C. Participating in substance abuse D. Dependent on how
jamal made a list of fractions and asked will to find the fraction written is simplest form.
Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65 let him represent the number of magazine and B r
ideas that are ____ are not stated directly but are understood by the audience