Question

evaluate: (3x-2y)^3 using identity​

Answer 1

Step by step Explanation :

(3x - 2y)^3

Identity used : (a+b)^3 = a^3 + b^3 + 3ab(a+b)

a = 3x and b = 2y

= (3x)^3 + (2y)^3 + 3*3x*2y(3x+2y)

= 27x^3 + 8y^3 + 18xy(3x+2y)

= 27x^3 + 8y^3 + 54x^2y + 36xy^2

Hence, the answer is 27x^3 + 8y^3 + 54x^2y + 36xy^2.

Answer 2

Answer:

  (3x - 2y)³

= (a - b)³ = a³ - b³ - 3a²b + 3ab²

= (3x)³ - (2y)³ - 3(3x)²(2y) + 3(3x)(2y)²

= 27x³ - 8y³ - 54x²y + 36xy²

This is your final answer.

Hope it helps...