Iquickly need the answer. simplify (x + 2y)³ - (x - 2y)³

Good morning,

______

(x + 2y)³ - (x - 2y)³ = 16y³ + 12x²y.

___________________

Step-by-step explanation:

Look at the photo below for the details.

__

:)

16y³ + 12x²y

Step-by-step explanation:

Using the identities

(a + b)³ = a³ + b³ + 3ab(a + b), with a = x and b = 2y

(x + 2y)³

= x³ + (2y)³ + 3x(2y)(x + 2y)

= x³ + 8y³ + 6xy(x + 2y)

= x³ + 8y³ +6x²y + 12xy² → (1)

And

(a - b)³ = a³ - b³ - 3ab(a - b), with a = x and b = 2y

(x - 2y)³

= x³ - (2y)³ - 3x(2y)(x - 2y)

= x³ - 8y³ - 6xy(x - 2y)

= x³ - 8y³ - 6x²y + 12xy² →(2)

(1) - (2)

= x³ + 8y³ + 6x²y + 12xy² - (x³ - 8y³ - 6x²y + 12xy²)

= x³ + 8y³ + 6x²y + 12xy² - x³ + 8y³ + 6x²y - 12xy² ← collect like terms

= 16y³ + 12x²y    

16

step-by-step explanation:

idk

step-by-step explanation:

payback