Question

Eualuate (2a-3b)^3 using identity

Answer 1

(a-b)^3= a^3 + 3a^2b - 3ab^2 - b^3

(2a)^3 + 3(2a)^2(3b) - 3(2a)(3b)^2 - b^3

8a^3 + 36a^2b - 54ab^2 - 27b^3.

Answer 2

Answer:

Eualuate (2a-3b)^3 using identity

Step-by-step explanation:

The formula that should be used here is the following,

(a-b)³= a³ + 3a²b - 3ab² - b³

So, If we substitute the values in the formula the result is

(2a - 3b)³ = (2a)³ + 3(2a)²(3b) - 3(2a)(3b)² - 3b³

(2a - 3b)³ = 8a³ + 12a²3b - 6a9b² - 27b³

After evaluating the values we get.

2a - 3b)³ =  8a³ + 36a²b - 54ab² - 27b³