djdnd57vjx djdnd57vjx
  • 23-02-2021
  • Mathematics
contestada

16. Factor
40y3 - 625

Respuesta :

DWRead
DWRead DWRead
  • 23-02-2021

Answer:

Step-by-step explanation:

prime factorization

40y³ = 2³×5y³

625 = 5⁴

Greatest common factor = 5

40y³ - 625 = 5(8y³ - 125)

Note that 8y³ - 125 is the difference of cubes.

8y³ - 125 = (2y)³ - 5³ = (2y-5)((2y)² + 2y·5 + 5²) = (2y-5)(4y² + 10y + 25)

40y³ - 625 = 5(2y-5)(4y² + 10y + 25)

Answer Link

Otras preguntas

6. What are the differences betwpen the three types of referendum?
help im trying to get better grades
Which angels are vertical angels?
How long would it take $8000 to grow to $10,000 at 4% simple interest?
What would happen if I hired two private investigators to follow each other?
what is the gcf of 27x2y^3, 46x^2y
Albinism is an autosomal recessive trait that results from lack of the skin pigment melanin. Two normally pigmented parents have a child with albinism. What is
Agree or disagree and explain why. A healthy environment depends on a delicate balance. When one element is disturbed, the entire environment suffers.
Are 1/8 and 12.5% equivalent???
chloe swam 40 laps in the pool but this was only 50% of her total swimming workout How many more laps does she still need to swim