SadiqW437682 SadiqW437682
  • 03-11-2022
  • Mathematics
contestada

(3m - 2n)³ = (9m² -12mn + 4n²)

Respuesta :

KyricD759158 KyricD759158
  • 03-11-2022

For this expression (3m - 2n)³ = (9m² -12mn + 4n²)

1)Let's remember the difference of two cubes

(a -b)³ = a³ -3a²b +3ab²-b³

(3m - 2n)³ = (3m)³ -3 (3m)²(-2n) +3(3m)(-2n)²-(2n)³ = 27m³ -54m²n +36mn²-8n³

27m³ -54m²n +36mn²-8n³ = 9m² -12mn + 4n²

2) Combining Like terms:

27m³ -54m²n +36mn²-8n³ -9m² +12mn+4n² =0

Since we can't get a simpler version of it. Let's keep with that.

Answer Link

Otras preguntas

How did Alexander the Great rise to power and how did he spread Greek culture to other lands?
what is the simplest square root of 1345? no decimals please
how is the expression of sex linked genes both  similar to and different from the expression of autosomal genes?
Morgan found a stone arrowhead. He measured it three times. He measured it as 2 inches to the nearest inch, to the nearest 1/2 inch, and to the nearest 1/4 inch
There is an inverse relationship between x and y. If y is when x is 3, what is x when y is 9? 3 5
the area of a triangle is 41 yards to the second power with a base of 5 yard what is the height in yard
Why did president Washington want the United States to remain neutral
Why did president Washington want the United States to remain neutral
What is a communicable disease ?
What is the main religion of Latin america